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Journal articles on the topic 'Three wave interaction'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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1

WEBB, G. M., A. R. ZAKHARIAN, M. BRIO, and G. P. ZANK. "Nonlinear and three-wave resonant interactions in magnetohydrodynamics." Journal of Plasma Physics 63, no. 5 (June 2000): 393–445. http://dx.doi.org/10.1017/s0022377800008370.

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Hamiltonian and variational formulations of equations describing weakly nonlinear magnetohydrodynamic (MHD) wave interactions in one Cartesian space dimension are discussed. For wave propagation in uniform media, the wave interactions of interest consist of (a) three-wave resonant interactions in which high-frequency waves may evolve on long space and time scales if the wave phases satisfy the resonance conditions; (b) Burgers self-wave steepening for the magnetoacoustic waves, and (c) mean wave field effects, in which a particular wave interacts with the mean wave field of the other waves. Th

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2

Krafft, C., and A. Volokitin. "Resonant three-wave interaction in the presence of suprathermal electron fluxes." Annales Geophysicae 22, no. 6 (June 14, 2004): 2171–79. http://dx.doi.org/10.5194/angeo-22-2171-2004.

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Abstract. A theoretical and numerical model is presented which describes the nonlinear interaction of lower hybrid waves with a non-equilibrium electron distribution function in a magnetized plasma. The paper presents some relevant examples of numerical simulations which show the nonlinear evolution of a set of three waves interacting at various resonance velocities with a flux of electrons presenting some anisotropy in the parallel velocity distribution (suprathermal tail); in particular, the case when the interactions between the waves are neglected (for sufficiently small waves' amplitudes)

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3

Julien, F., J. M. Lourtioz, and T. A. DeTemple. "Parallel three-wave interaction." Journal de Physique 47, no. 5 (1986): 781–88. http://dx.doi.org/10.1051/jphys:01986004705078100.

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4

Balk, Alexander M. "Surface gravity wave turbulence: three wave interaction?" Physics Letters A 314, no. 1-2 (July 2003): 68–71. http://dx.doi.org/10.1016/s0375-9601(03)00795-3.

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5

Brodin, G., and L. Stenflo. "Three-wave coupling coefficients for MHD plasmas." Journal of Plasma Physics 39, no. 2 (April 1988): 277–84. http://dx.doi.org/10.1017/s0022377800013027.

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By reconsidering the general theory for the resonant interaction of three waves in a plasma, we find explicit expressions for the coupling coefficients for three MHD waves. In particular we demonstrate that the interaction between two magnetosonic waves and one Alfvén wave, as well as the interaction between two Alfvén waves and one magnetosonic wave, can be described by very simple formulae for the coupling coefficients.

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6

Brodin, G., and L. Stenflo. "Three-wave interaction between transverse and longitudinal waves." Journal of Plasma Physics 42, no. 1 (August 1989): 187–91. http://dx.doi.org/10.1017/s0022377800014264.

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We consider the resonant interaction between two transverse waves and one longitudinal wave in a plasma. In particular, we discuss coupling phenomena involving long-wavelength modes that have been overlooked by previous authors.

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7

Luo, Qinghuan, and D. B. Melrose. "Induced Three-wave Interactions in Eclipsing Pulsars." Publications of the Astronomical Society of Australia 12, no. 1 (April 1995): 71–75. http://dx.doi.org/10.1017/s1323358000020063.

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AbstractThree-wave interactions involving two high-frequency waves (in the same mode) and a low-frequency wave are discussed and applied to pulsar eclipses. When the magnetic field is taken into account, the low-frequency waves can be the ω-mode (the low-frequency branch of the ordinary mode) or the z-mode (the low-frequency branch of the extraordinary mode). It is shown that in the cold plasma approximation, effective growth of the low-frequency waves due to an anisotropic photon beam can occur only for z-mode waves near the resonance frequency. In the application to pulsar eclipses, the cold

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8

Annenkov, S. Yu, and N. N. Romanova. "Three-wave resonant interaction involving unstable wave packets." Doklady Physics 48, no. 8 (August 2003): 441–46. http://dx.doi.org/10.1134/1.1606760.

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9

Raad, Peter E., and Razvan Bidoae. "Three‐Dimensional Wave Interaction with Solids." Physics of Fluids 11, no. 9 (September 1999): S6. http://dx.doi.org/10.1063/1.4739156.

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10

Giannoulis, Johannes. "Three-wave interaction in discrete lattices." PAMM 6, no. 1 (December 2006): 475–76. http://dx.doi.org/10.1002/pamm.200610218.

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11

Yang, Bo, and Jianke Yang. "General rogue waves in the three-wave resonant interaction systems." IMA Journal of Applied Mathematics 86, no. 2 (March 25, 2021): 378–425. http://dx.doi.org/10.1093/imamat/hxab005.

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Abstract General rogue waves in (1+1)-dimensional three-wave resonant interaction systems are derived by the bilinear method. These solutions are divided into three families, which correspond to a simple root, two simple roots and a double root of a certain quartic equation arising from the dimension reduction, respectively. It is shown that while the first family of solutions associated with a simple root exists for all signs of the nonlinear coefficients in the three-wave interaction equations, the other two families of solutions associated with two simple roots and a double root can only ex

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12

Borluk, H., and S. Erbay. "Stability of solitary waves for three-coupled long wave-short wave interaction equations." IMA Journal of Applied Mathematics 76, no. 4 (September 13, 2010): 582–98. http://dx.doi.org/10.1093/imamat/hxq044.

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13

Brodin, G., and L. Stenflo. "Three-wave coupling coefficients for magnetized plasmas with pressure anisotropy." Journal of Plasma Physics 41, no. 1 (February 1989): 199–208. http://dx.doi.org/10.1017/s0022377800013763.

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In order to find the equations for the nonlinear energy exchange between low-frequency waves in magnetized plasmas in the presence of pressure anisotropy, we start from the Chew–Goldberger–Low equations, the isothermal MHD equations, as well as a new hybrid system of equations. The coupling coefficients describing the interaction between two Alfvén waves and one magnetosonic wave as well as the interaction between two magnetosonic waves and one Alfvén wave are deduced.

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14

SCHNEIDER, GUIDO, and C. EUGENE WAYNE. "Estimates for the three-wave interaction of surface water waves." European Journal of Applied Mathematics 14, no. 5 (October 2003): 547–70. http://dx.doi.org/10.1017/s0956792503005163.

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15

Alexey, Doronin, and Erofeev Vladimir. "THREE-WAVE RESONANCE INTERACTION IN ELASTOPLASTIC SOLID." PNRPU Mechanics Bulletin, no. 3 (September 30, 2015): 52–62. http://dx.doi.org/10.15593/perm.mech/2015.3.05.

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16

Pushkina, N. I. "Nonlinear three-wave interaction in marine sediments." Physics of Wave Phenomena 20, no. 3 (July 2012): 204–7. http://dx.doi.org/10.3103/s1541308x12030077.

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17

Tkeshelashvili, L., and K. Busch. "Nonlinear three-wave interaction in photonic crystals." Applied Physics B 81, no. 2-3 (July 2005): 225–29. http://dx.doi.org/10.1007/s00340-005-1815-4.

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18

Lagrange, S., H. R. Jauslin, and A. Picozzi. "Thermalization of the dispersive three-wave interaction." Europhysics Letters (EPL) 79, no. 6 (August 21, 2007): 64001. http://dx.doi.org/10.1209/0295-5075/79/64001.

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19

Maslov, V. P., and G. A. Omel'yanov. "Three-wave interaction including frequency doubling effects." Soviet Physics Journal 29, no. 3 (March 1986): 157–75. http://dx.doi.org/10.1007/bf00891878.

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20

Jurčo, Branislav. "Quantum integrable multiple three-wave interaction models." Physics Letters A 143, no. 1-2 (January 1990): 47–51. http://dx.doi.org/10.1016/0375-9601(90)90796-q.

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21

Kurin, V. V. "Origin and interaction of three-wave solitons." Radiophysics and Quantum Electronics 31, no. 10 (October 1988): 853–60. http://dx.doi.org/10.1007/bf01040017.

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22

WEBB, G. M., A. ZAKHARIAN, M. BRIO, and G. P. ZANK. "Wave interactions in magnetohydrodynamics, and cosmic-ray-modified shocks." Journal of Plasma Physics 61, no. 2 (February 1999): 295–346. http://dx.doi.org/10.1017/s0022377898007399.

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Multiple-scales perturbation methods are used to study wave interactions in magnetohydrodynamics (MHD), in one Cartesian space dimension, with application to cosmic-ray-modified shocks. In particular, the problem of the propagation and interaction of short wavelength MHD waves, in a large-scale background flow, modified by cosmic rays is studied. The wave interaction equations consist of seven coupled evolution equations for the backward and forward Alfvén waves, the backward and forward fast and slow magnetoacoustic waves and the entropy wave. In the linear wave regime, the waves are coupled

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23

Gegenhasi, Jun-Xiao Zhao, Xing-Biao Hu, and Hon-Wah Tam. "Pfaffianization of the discrete three-dimensional three wave interaction equation." Linear Algebra and its Applications 407 (September 2005): 277–95. http://dx.doi.org/10.1016/j.laa.2005.05.012.

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24

de Paula, I. B., W. Würz, M. T. Mendonça, and M. A. F. Medeiros. "Interaction of instability waves and a three-dimensional roughness element in a boundary layer." Journal of Fluid Mechanics 824 (July 6, 2017): 624–60. http://dx.doi.org/10.1017/jfm.2017.362.

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The influence of a single roughness element on the evolution of two-dimensional (2-D) Tollmien–Schlichting (TS) waves is investigated experimentally. Experiments are carried out in a region of zero pressure gradient of an airfoil section. Downstream from the disturbance source, TS waves interact with a cylindrical roughness element with a slowly oscillating height. The oscillation frequency of the roughness was approximately 1500 times lower than the wave frequency and approximately 250 times slower than the characteristic time of flow passing the region of transition development. Therefore, t

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25

TIMOSHIN, S. N., and F. T. SMITH. "Vortex/inflectional-wave interactions with weakly three-dimensional input." Journal of Fluid Mechanics 348 (October 10, 1997): 247–94. http://dx.doi.org/10.1017/s0022112097006447.

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The subtle impact of the spanwise scaling in nonlinear interactions between oblique instability waves and the induced longitudinal vortex field is considered theoretically for the case of a Rayleigh-unstable boundary-layer flow, at large Reynolds numbers. A classification is given of various flow regimes on the basis of Reynolds-stress mechanisms of mean vorticity generation, and a connection between low-amplitude non-parallel vortex/wave interactions and less-low-amplitude non-equilibrium critical-layer flows is discussed in more detail than in previous studies. Two new regimes of vortex/wave

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26

Kim, D. J., and M. H. Kim. "Wave-Current Interaction with a Large Three-Dimensional Body by THOBEM." Journal of Ship Research 41, no. 04 (December 1, 1997): 273–85. http://dx.doi.org/10.5957/jsr.1997.41.4.273.

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The effects of uniform steady currents (or small forward velocity) on the interaction of a large three-dimensional body with waves are investigated by a time-domain higher-order boundary element method (THOBEM). The current speed is assumed to be small so that the viscous effects and the steady wave system generated by currents are insignificant. Using regular perturbation with two small parameters є and δ associated with wave slope and current velocity, respectively, the boundary value problem is decomposed into the zeroth-order steady double-body-flow problem at 0(δ) with a rigid-wall free-s

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27

Larsson, Jonas. "Hamiltonian Theory for Waves and the Resonant Three-Wave Interaction Process." Physica Scripta T75, no. 1 (1998): 173. http://dx.doi.org/10.1238/physica.topical.075a00173.

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28

Schifino, A. C. Sicardi, and R. Montagne. "Nonlinear three-wave interaction description for a global drift wave turbulence." Physica Scripta 47, no. 2 (February 1, 1993): 244–49. http://dx.doi.org/10.1088/0031-8949/47/2/021.

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29

Huang, Guoxiang. "Exact solitary wave solutions of three-wave interaction equations with dispersion." Journal of Physics A: Mathematical and General 33, no. 47 (November 17, 2000): 8477–82. http://dx.doi.org/10.1088/0305-4470/33/47/310.

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30

Williamson, C. H. K., and A. Prasad. "A new mechanism for oblique wave resonance in the ‘natural’ far wake." Journal of Fluid Mechanics 256 (November 1993): 269–313. http://dx.doi.org/10.1017/s0022112093002794.

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There has been some debate recently on whether the far-wake structure downstream of a cylinder is dependent on, or ‘connected’ with, the precise details of the near-wake structure. Indeed, it has previously been suggested that the far-wake scale and frequency are unconnected with those of the near wake. In the present paper, we demonstrate that both the far-wake scale and frequency are dependent on the near wake. Surprisingly, the characteristic that actually forges a ‘connection’ between the near and far wakes is the sensitivity to free-stream disturbances. It is these disturbances that are a

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31

PORTER, R., and D. PORTER. "Interaction of water waves with three-dimensional periodic topography." Journal of Fluid Mechanics 434 (May 10, 2001): 301–35. http://dx.doi.org/10.1017/s0022112001003676.

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The scattering and trapping of water waves by three-dimensional submerged topography, infinite and periodic in one horizontal coordinate and of finite extent in the other, is considered under the assumptions of linearized theory. The mild-slope approximation is used to reduce the governing boundary value problem to one involving a form of the Helmholtz equation in which the coefficient depends on the topography and is therefore spatially varying.Two problems are considered: the scattering by the topography of parallel-crested obliquely incident waves and the propagation of trapping modes along

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32

Lindgren, T., L. Stenflo, N. Kostov, and I. Zhelyazkov. "Three-wave interaction in a cold plasma column." Journal of Plasma Physics 34, no. 3 (December 1985): 427–34. http://dx.doi.org/10.1017/s0022377800002981.

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We derive the coupled-mode equations for the non-resonant interaction of three high-frequency surface waves propagating along a cold plasma column with sharp movable boundary. The plasma is then supposed to be surrounded by vacuum. Our boundary conditions take into account the effects of the presence of surface charges, as well as the movements of the boundary. The coupling coefficients are expressed in explicit forms and compared with previous results.

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33

Hughes, David W., and Michael R. E. Proctor. "Nonlinear three-wave interaction with non-conservative coupling." Journal of Fluid Mechanics 244, no. -1 (November 1992): 583. http://dx.doi.org/10.1017/s0022112092003203.

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34

Škorić, M. M., T. Sato, A. Maluckov, and M. S. Jovanović. "Self-organization in a dissipative three-wave interaction." Physical Review E 60, no. 6 (December 1, 1999): 7426–34. http://dx.doi.org/10.1103/physreve.60.7426.

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35

Ibragimov, E., A. A. Struthers, D. J. Kaup, J. D. Khaydarov, and K. D. Singer. "Three-wave interaction solitons in optical parametric amplification." Physical Review E 59, no. 5 (May 1, 1999): 6122–37. http://dx.doi.org/10.1103/physreve.59.6122.

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36

Ohkuma, Kenji. "Thermodynamics of the Quantum Three Wave Interaction Model." Journal of the Physical Society of Japan 54, no. 8 (August 15, 1985): 2817–28. http://dx.doi.org/10.1143/jpsj.54.2817.

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37

ZHAO, HONGWEI, WU-MING LIU, YUPENG WANG, and FU-CHO PU. "EXACT SOLUTIONS FOR QUANTUM THREE WAVE INTERACTION SYSTEM." International Journal of Modern Physics B 10, no. 21 (September 30, 1996): 2639–50. http://dx.doi.org/10.1142/s021797929600115x.

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The exact eigenstates of the Hamiltonian for a quantum three wave interaction system are constructed by using the Bethe ansatz. The Bethe-ansatz equations are obtained from the periodic boundary conditions.

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38

Chow, Carson C., A. Bers, and A. K. Ram. "Spatiotemporal chaos in the nonlinear three-wave interaction." Physical Review Letters 68, no. 23 (June 8, 1992): 3379–82. http://dx.doi.org/10.1103/physrevlett.68.3379.

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39

Ibragimov, Edem. "All-optical switching using three-wave-interaction solitons." Journal of the Optical Society of America B 15, no. 1 (January 1, 1998): 97. http://dx.doi.org/10.1364/josab.15.000097.

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40

Mondal, R., and T. Sahoo. "Wave structure interaction problems in three-layer fluid." Zeitschrift für angewandte Mathematik und Physik 65, no. 2 (October 6, 2013): 349–75. http://dx.doi.org/10.1007/s00033-013-0368-3.

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41

Kaup, D. J., and Boris A. Malomed. "Three-wave resonant interaction in a thin layer." Physics Letters A 183, no. 4 (December 1993): 283–88. http://dx.doi.org/10.1016/0375-9601(93)90457-b.

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42

Leo, M., R. A. Leo, G. Soliani, and L. Martina. "Prolongation theory of the three-wave resonant interaction." Il Nuovo Cimento B Series 11 88, no. 2 (August 1985): 81–101. http://dx.doi.org/10.1007/bf02728892.

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43

Bandilla, A., G. Drobný, and I. Jex. "Phase-space motion in parametric three-wave interaction." Optics Communications 128, no. 4-6 (July 1996): 353–62. http://dx.doi.org/10.1016/0030-4018(96)00136-8.

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44

Grue, John. "Nonlinear interfacial wave formation in three dimensions." Journal of Fluid Mechanics 767 (February 23, 2015): 735–62. http://dx.doi.org/10.1017/jfm.2015.42.

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AbstractA three-dimensional two-layer, fully dispersive and strongly nonlinear interfacial wave model, including the interaction with a time-varying bottom topography, is developed. The method is based on a set of integral equations. The source and dipole terms are developed in series expansions in the vertical excursions of the interface and bottom topography, obtaining explicit inversion by Fourier transform. Calculations of strongly nonlinear interfacial waves with excursions comparable to the thinner layer depth show that the quadratic approximation of the method contains the essential dyn

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45

Cheng, Chong-Dong, Bo Tian, Cong-Cong Hu, and Xin Zhao. "Hybrid solutions of a (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation in an incompressible fluid." International Journal of Modern Physics B 35, no. 17 (July 10, 2021): 2150126. http://dx.doi.org/10.1142/s0217979221501265.

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Incompressible fluids are studied in such disciplines as ocean engineering, astrophysics and aerodynamics. Under investigation in this paper is a [Formula: see text]-dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation in an incompressible fluid. Based on the known bilinear form, BLMP hybrid solutions comprising a lump wave, a periodic wave and two kink waves, and hybrid solutions comprising a breather wave and multi-kink waves are derived. We observe the interaction among a lump wave, a periodic wave and two kink waves. Fission of a kink wave is observed: A kink wave divides into a breathe

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46

Gegenhasi and Zhaowen Yan. "Discrete three-dimensional three wave interaction equation with self-consistent sources." Frontiers of Mathematics in China 11, no. 6 (April 12, 2016): 1501–13. http://dx.doi.org/10.1007/s11464-016-0522-2.

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47

VOITENKO, Yu M. "Three-wave coupling and weak turbulence of kinetic Alfvén waves." Journal of Plasma Physics 60, no. 3 (October 1998): 515–27. http://dx.doi.org/10.1017/s0022377898007107.

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The nonlinear dynamics of kinetic-Alfvén–wave (KAW) turbulence is studied. Weak KAW turbulence induced by three-wave interaction among parallel-propagating KAWs has a direct energy cascade in the wavenumber domain ks⊥>ρ−1i and an inverse cascade in the domain ks⊥<ρ−1i, resulting in Kolmogorov-type spectra, Wk∼(kz) −1/2(k⊥)−p, with exponents p=4 and p=3.5 respectively. The interaction including antiparallel-propagating KAWs, usually most effective, results in an inverse energy cascade over the whole k⊥ range and p=2 (at k⊥<ρ−1i) and p=3.5 (for k⊥>ρ−1i) spectra. Three applications co

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48

VOITENKO, Yu M. "Three-wave coupling and parametric decay of kinetic Alfvén waves." Journal of Plasma Physics 60, no. 3 (October 1998): 497–514. http://dx.doi.org/10.1017/s0022377898007090.

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The dynamic equation and coupling coefficient of the three-wave interaction among kinetic Alfvén waves (KAWs) are derived by use of plasma kinetic theory. Linear and nonlinear effects of finite ion Larmor radius are kept for arbitrary value of the ‘kinetic variable’ κ=k⊥ρi. The parametric decay KAW→KAW+KAWis investigated and the threshold amplitude for decay instability in a Maxwellian plasma is calculated. The growth rate of decay instability varies as k2⊥ in both limits κ2[Lt ]1 and κ2[Gt ]1. The main tendency of KAWs is towards nonlinear destabilization at very low wave amplitudes Bk/B0[lsi

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49

Li, Zhisong, Kirti Ghia, Ye Li, Zhun Fan, and Lian Shen. "Unsteady Reynolds-averaged Navier–Stokes investigation of free surface wave impact on tidal turbine wake." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2246 (February 2021): 20200703. http://dx.doi.org/10.1098/rspa.2020.0703.

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Tidal current is a promising renewable energy source. Previous studies have investigated the influence of surface waves on tidal turbines in many aspects. However, the turbine wake development in a surface wave environment, which is crucial for power extraction in a turbine array, remains elusive. In this study, we focus on the wake evolution behind a single turbine and its interaction with surface waves. A numerical solver is developed to study the effects of surface waves on an industrial-size turbine. A case without surface wave and two cases with waves and different rotor depths are invest

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50

Usui, H., H. Matsumoto, and R. Gendrin. "Numerical simulations of a three-wave coupling occurring in the ionospheric plasma." Nonlinear Processes in Geophysics 9, no. 1 (February 28, 2002): 1–10. http://dx.doi.org/10.5194/npg-9-1-2002.

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Abstract. We studied a three-wave coupling process occurring in an active experiment of microwave power transmission (MPT) in the ionospheric plasma by performing one-dimensional electromagnetic PIC (Particle-In-Cell) simulations. In order to examine the spatial variation of the coupling process, we continuously emitted intense electromagnetic waves from an antenna located at a simulation boundary. In the three-wave coupling, a low-frequency electrostatic wave is excited as the result of a nonlinear interaction between the forward propagating pump wave and backscattered wave. In the simulation

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