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Relevant bibliographies by topics / Nonlinear field equations

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Academic literature on the topic 'Nonlinear field equations'

Author: Grafiati

Published: 18 May 2024

Last updated: 31 July 2025

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Journal articles on the topic "Nonlinear field equations"

1

Tan, Jinggang, Ying Wang, and Jianfu Yang. "Nonlinear fractional field equations." Nonlinear Analysis: Theory, Methods & Applications 75, no. 4 (2012): 2098–110. http://dx.doi.org/10.1016/j.na.2011.10.010.

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Fairlie, David B. "Interconnections among nonlinear field equations." Journal of Physics A: Mathematical and Theoretical 53, no. 10 (2020): 104001. http://dx.doi.org/10.1088/1751-8121/ab6f17.

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Rego-Monteiro, M. A., and F. D. Nobre. "Nonlinear quantum equations: Classical field theory." Journal of Mathematical Physics 54, no. 10 (2013): 103302. http://dx.doi.org/10.1063/1.4824129.

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Tanaka, Yosuke, Takefumi Shudo, Tetsutaro Yosinaga, and Hiroshi Kimura. "Relativistic field equations and nonlinear dynamics." Chaos, Solitons & Fractals 37, no. 4 (2008): 941–49. http://dx.doi.org/10.1016/j.chaos.2008.01.004.

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Burt, P. B. "Nonperturbative solution of nonlinear field equations." Il Nuovo Cimento B 100, no. 1 (1987): 43–52. http://dx.doi.org/10.1007/bf02829775.

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Wells, R. O. "Nonlinear field equations and twistor theory." Mathematical Intelligencer 7, no. 2 (1985): 26–32. http://dx.doi.org/10.1007/bf03024171.

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Bekova, G. T., and A. A. Zhadyranova. "MULTI-LINE SOLITON SOLUTIONS FOR THE TWO-DIMENSIONAL NONLINEAR HIROTA EQUATION." PHYSICO-MATHEMATICAL SERIES 2, no. 336 (2021): 172–78. http://dx.doi.org/10.32014/2021.2518-1726.38.

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At present, the question of studying multidimensional nonlinear integrable equations in the framework of the theory of solitons is very interesting to foreign and Kazakh scientists. Many physical phenomena that occur in nature can be described by nonlinearly integrated equations. Finding specific solutions to such equations plays an important role in studying the dynamics of phenomena occurring in various scientific and engineering fields, such as solid state physics, fluid mechanics, plasma physics and nonlinear optics. There are several methods for obtaining real and soliton, soliton-like so

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Bruce, S. A. "Nonlinear Maxwell equations and strong-field electrodynamics." Physica Scripta 97, no. 3 (2022): 035303. http://dx.doi.org/10.1088/1402-4896/ac50c2.

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Abstract We investigate two Lagrangian models of nonlinear electrodynamics (NLED). These models lead to two different sets of nonlinear (NL) Maxwell equations. The first case deals with the well-known Heisenberg-Euler (HE) model of electromagnetic (EM) self-interactions in a vacuum where only the lowest orders in EM Lorentz invariants are considered. The second instance proposes an extension of the HE model. It consists of a NL Maxwell-Dirac spinor model where the EM field modifies the dynamics of the energy-momentum operator sector of the Dirac Lagrangian instead of its rest-mass term counter

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Clapp, Mónica, and Tobias Weth. "Multiple Solutions of Nonlinear Scalar Field Equations." Communications in Partial Differential Equations 29, no. 9-10 (2005): 1533–54. http://dx.doi.org/10.1081/pde-200037766.

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Mederski, Jarosław. "Nonradial solutions of nonlinear scalar field equations." Nonlinearity 33, no. 12 (2020): 6349–80. http://dx.doi.org/10.1088/1361-6544/aba889.

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Dissertations / Theses on the topic "Nonlinear field equations"

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Chakraborty, Susanto. "Solutions of some nonlinear field equations, painleve` properties and Chaos." Thesis, University of North Bengal, 2006. http://hdl.handle.net/123456789/610.

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Dunning, Tania Clare. "Perturbed conformal field theory, nonlinear integral equations and spectral problems." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4329/.

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This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories. Nonlinear integral equations are the main tools to find the exact ground-state energy of a quantum field theory. The thermodyamic Bethe ansatz (TBA) equations are a set of examples and are known for a large number of models. However, it is also an interesting question to find exact equations describing the excited states of integrable models. The first part of this thesis uses analytical continuation in a continuous parame

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O'Day, Joseph Patrick. "Investigation of a coupled Duffing oscillator system in a varying potential field /." Online version of thesis, 2005. https://ritdml.rit.edu/dspace/handle/1850/1212.

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GOFFI, ALESSANDRO. "Topics in nonlinear PDEs: from Mean Field Games to problems modeled on Hörmander vector fields." Doctoral thesis, Gran Sasso Science Institute, 2019. http://hdl.handle.net/20.500.12571/9808.

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This thesis focuses on qualitative and quantitative aspects of some nonlinear PDEs arising in optimal control and differential games, ranging from regularity issues to maximum principles. More precisely, it is concerned with the analysis of some fully nonlinear second order degenerate PDEs over Hörmander vector fields that can be written in Hamilton-Jacobi-Bellman and Isaacs form and those arising in the recent theory of Mean Field Games, where the prototype model is described by a coupled system of PDEs involving a backward Hamilton-Jacobi and a forward Fokker-Planck equation. The thesis is d

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Mulvey, Joseph Anthony. "Symmetry methods for integrable systems." Thesis, Durham University, 1996. http://etheses.dur.ac.uk/5379/.

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This thesis discusses various properties of a number of differential equations which we will term "integrable". There are many definitions of this word, but we will confine ourselves to two possible characterisations — either an equation can be transformed by a suitable change of variables to a linear equation, or there exists an infinite number of conserved quantities associated with the equation that commute with each other via some Hamiltonian structure. Both of these definitions rely heavily on the concept of the symmetry of a differential equation, and so Chapters 1 and 2 introduce and ex

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Hoq, Qazi Enamul. "Quantization Of Spin Direction For Solitary Waves in a Uniform Magnetic Field." Thesis, University of North Texas, 2003. https://digital.library.unt.edu/ark:/67531/metadc4210/.

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It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial data)and have nonzero spin (nonzero intrinsic angular momentum in the centre of momentum frame). In this paper we consider vector-valued solitary wave solutions to a nonlinear Klein-Gordon equation and investigate the behavior of these spinning solitary waves under the inﬂuence of an externally imposed uniform magnetic ﬁeld. We ﬁnd that the only stationary spinning solitary wave solutions have s

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Nys, Manon. "Schrödinger equations with an external magnetic field: Spectral problems and semiclassical states." Doctoral thesis, Universite Libre de Bruxelles, 2015. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/216641.

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In this thesis, we study Schrödinger equations with an external magnetic field. In the first part, we are interested in an eigenvalue problem. We work in an open, bounded and simply connected domain in dimension two. We consider a magnetic potential singular at one point in the domain, and related to the magnetic field being a multiple of a Dirac delta. Those two objects are related to the Bohm-Aharonov effect, in which a charged particle is influenced by the presence of the magnetic potential although it remains in a region where the magnetic field is zero. We consider the Schrödinger magneti

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Nowak, Derek Brant. "The Design of a Novel Tip Enhanced Near-field Scanning Probe Microscope for Ultra-High Resolution Optical Imaging." PDXScholar, 2010. https://pdxscholar.library.pdx.edu/open_access_etds/361.

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Traditional light microscopy suffers from the diffraction limit, which limits the spatial resolution to λ/2. The current trend in optical microscopy is the development of techniques to bypass the diffraction limit. Resolutions below 40 nm will make it possible to probe biological systems by imaging the interactions between single molecules and cell membranes. These resolutions will allow for the development of improved drug delivery mechanisms by increasing our understanding of how chemical communication within a cell occurs. The materials sciences would also benefit from these high resolution

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Ruy, Danilo Virges [UNESP]. "Estrutura hamiltoniana da hierarquia PIV." Universidade Estadual Paulista (UNESP), 2011. http://hdl.handle.net/11449/92036.

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Made available in DSpace on 2014-06-11T19:25:34Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-02-18Bitstream added on 2014-06-13T19:53:27Z : No. of bitstreams: 1 ruy_dv_me_ift.pdf: 500107 bytes, checksum: fef6f049175c290422f569aa7ad7e26e (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Esta dissertação trata da construção de hierarquias compatíveis com a equação PIV a partir dos modelos: AKNS, dois bósons e dois bósons quadráticos. Também são construidos os problema linear de Jimbo-Miwa dos três modelos e discutimos a hamiltoniana correspondente a equa

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Ruy, Danilo Virges. "Estrutura hamiltoniana da hierarquia PIV /." São Paulo : [s.n.], 2011. http://hdl.handle.net/11449/92036.

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Orientador: Abraham Hirsz Zimerman<br>Banca: Iberê Luiz Caldas<br>Banca: Roberto André Kraenkel<br>Resumo: Esta dissertação trata da construção de hierarquias compatíveis com a equação PIV a partir dos modelos: AKNS, dois bósons e dois bósons quadráticos. Também são construidos os problema linear de Jimbo-Miwa dos três modelos e discutimos a hamiltoniana correspondente a equação PIV a partir do formalismo lagrangiano<br>Abstract: This dissertation contains the construction of compatible hierarchies with the PIV equation from the models: AKNS, two-boson and quadratic two-boson. Also it is build

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Books on the topic "Nonlinear field equations"

1

Benci, Vieri, and Donato Fortunato. Variational Methods in Nonlinear Field Equations. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06914-2.

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V, Murthy M. K., Spagnolo S, and Workshop on Nonlinear Hyperbolic Equations and Field Theory (1990 : Lake Como, Italy), eds. Nonlinear hyperbolic equations and field theory. Longman Scientific & Technical, 1992.

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LeFloch, Philippe G. The hyperboloidal foliation method. World Scientific, 2015.

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4

Tarantello, Gabriella. Selfdual gauge field vortices: An analytical approach. Birkhäuser, 2007.

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Tarantello, Gabriella. Selfdual gauge field vortices: An analytical approach. Birkhäuser, 2007.

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6

Prikarpatskiĭ, A. K. Algebraicheskie aspekty integriruemosti nelineĭnykh dinamicheskikh sistem na mnogoobrazii͡a︡kh. Nauk. dumka, 1991.

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Philippe, Blanchard, Dias J. P. 1944-, and Stubbe J. 1959-, eds. New methods and results in non-linear field equations: Proceedings of a conference held at the University of Bielefeld, Fed. Rep. of Germany, 7-10 July 1987. Springer-Verlag, 1989.

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8

Korsunskiĭ, S. V. Nonlinear waves in dispersive and dissipative systems with coupled fields. Longman, 1997.

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9

Gatica, Gabriel N. Boundary-field equation methods for a class of nonlinear problems. Longman, 1995.

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Gatica, Gabriel N. Boundary-field equation methods for a class of nonlinear problems. Longman, 1995.

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Book chapters on the topic "Nonlinear field equations"

1

Ambrosio, Vincenzo. "Fractional Scalar Field Equations." In Nonlinear Fractional Schrödinger Equations in R^N. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-60220-8_3.

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Nyborg, Wesley L. "Acoustic Streaming." In Nonlinear Acoustics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-58963-8_7.

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AbstractAcoustic streaming is steady fluid flow produced by conservation of momentum associated with the absorption of sound. The basic equations are obtained by time-averaging the momentum equation with shear and bulk viscosity included. A volume integral for streaming in a free field produced by an arbitrary sound field is used to obtain a solution for streaming generated by a focused sound beam. Streaming produced by the viscous boundary layer acting on a plane traveling wave that grazes a wall is described. Distinctions are made between Eulerian, Lagrangian, and mass transport streaming ve

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Nachman, Adrian I. "Multidimensional inverse scattering and nonlinear equations." In Field Theory, Quantum Gravity and Strings. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/3-540-16452-9_18.

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Fushchich, W. I., and I. M. Zifra. "Conformally Invariant Nonlinear Equations of Electromagnetic Field." In Group Theoretical Methods in Physics. Volume II. CRC Press, 2024. http://dx.doi.org/10.1201/9781003580850-7.

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Agüero Granados, M. A. "Coherent State Theory and the Field Lattice Model." In Nonlinear Evolution Equations and Dynamical Systems. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-76172-0_45.

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Winternitz, P. "Lie Groups and Solutions of Nonlinear Partial Differential Equations." In Integrable Systems, Quantum Groups, and Quantum Field Theories. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1980-1_11.

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Dafermos, C. M. "Equivalence of Referential and Spatial Field Equations in Continuum Physics." In Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-322-87871-7_21.

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Krichever, I., O. Lipan, P. Wiegmann, and A. Zabrodin. "Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations." In Low-Dimensional Applications of Quantum Field Theory. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4899-1919-9_16.

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Klainerman, S. "On the Regularity of Classical Field Theories in Minkowski Space-Time R3+1." In Nonlinear Partial Differential Equations in Geometry and Physics. Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8895-0_2.

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Esteban, Maria J., and Pierre-Louis Lions. "Stationary Solutions of Nonlinear Schrödinger Equations with an External Magnetic Field." In Partial Differential Equations and the Calculus of Variations. Birkhäuser Boston, 1989. http://dx.doi.org/10.1007/978-1-4684-9196-8_18.

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Conference papers on the topic "Nonlinear field equations"

1

Matsuo, Tetsuji, Miwa Tobita, and Hamed Eskandari. "Parametrized Cauer Ladder Network Equations for Reduced Representation of Nonlinear Magnetic Field." In 2024 IEEE 21st Biennial Conference on Electromagnetic Field Computation- Extended Papers (CEFC-Extended). IEEE, 2024. https://doi.org/10.1109/cefc65091.2024.10848708.

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Verweij, Martin D. "Nonlinear and dissipative constitutive equations for coupled first-order acoustic field equations that are consistent with the generalized Westervelt equation." In INNOVATIONS IN NONLINEAR ACOUSTICS: ISNA17 - 17th International Symposium on Nonlinear Acoustics including the International Sonic Boom Forum. AIP, 2006. http://dx.doi.org/10.1063/1.2210354.

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Etrich, C., Paul Mandel, and Kenju Otsuka. "Laser rate equations with phase-sensitive interactions." In Nonlinear Dynamics in Optical Systems. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nldos.1992.tuc7.

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We derive the following set of equations describing a two-mode semiconductor laser for the case of a Fabry-Perot configuration, taking into account the holes burned into the amplifying medium by the standing field pattern and phase-sensitive interactions: (1) where κ = κ2/κ1 is the ratio of the decay rates of the electric fields E1 and E2. It is fixed to be larger than unity.

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Ghiner, A. V., and G. I. Surdutovich. "Method of integral equations and extinction theorem in volumetric and surface phenomena in nonlinear optics." In Nonlinear Optics. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nlo.1992.tud8.

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The method of integral equations of molecular optics [1] is based on the representation of the medium as the system of discrete oscillators and gives self-consistent description of the electromagnetic phenomena in medium without using operation of averaging when one comes from micro to macro-scopic field. In [2] the attempt has been made to apply method of integral equations to the nonlinear optics within the limits of the conception of local (microscopic) field. For justification of the corner-stone assumption that non-lineal polarization satisfies the wave equation it is necessary to assume

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Chavanis, P. H., Sumiyoshi Abe, Hans Herrmann, Piero Quarati, Andrea Rapisarda, and Constantino Tsallis. "General properties of nonlinear mean field Fokker-Planck equations." In COMPLEXITY, METASTABILITY, AND NONEXTENSIVITY: An International Conference. AIP, 2007. http://dx.doi.org/10.1063/1.2828726.

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García-Salcedo, R., and Aarón V. B. Arellano. "Nonlinear Electrodynamics and Wormhole Type Solutions for Einstein Field Equations." In ADVANCED SUMMER SCHOOL IN PHYSICS 2006: Frontiers in Contemporary Physics: EAV06. AIP, 2007. http://dx.doi.org/10.1063/1.2563177.

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Goorjian, Peter M., Rose M. Joseph, and Allen Taflove. "Calculations of Femtosecond Temporal Solitons and Spatial Solitons Using the Vector Maxwell's Equations." In Nonlinear Guided-Wave Phenomena. Optica Publishing Group, 1993. http://dx.doi.org/10.1364/nlgwp.1993.tub.12.

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Experimentalists have produced all-optical switches capable of 100-fs responses [1]. Also, there are experimental observations [2] and theoretical calculations [3] of spatial soliton interactions. To adequately model such effects, nonlinearities in optical materials [4] (both instantaneous and dispersive) must be included. In principle, the behavior of electromagnetic fields in nonlinear dielectrics can be determined by solving Maxwell's equations subject to the assumption that the electric polarization has a nonlinear relation to the electric field. However, until our previous work [5 - 8], t

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Matsuo, Tetsuji, Miwa Tobita, and Hamed Eskandari. "Parametrized Cauer Ladder Network Equations for Reduced Representation of Nonlinear Magnetic Field." In 2024 IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC). IEEE, 2024. http://dx.doi.org/10.1109/cefc61729.2024.10585843.

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ORTNER, J., and V. M. RYLYUK. "THE USE OF RELATIVISTIC ACTION IN STRONG-FIELD NONLINEAR PHOTOIONIZATION." In Proceedings of the Conference “Kadanoff-Baym Equations: Progress and Perspectives for Many-Body Physics”. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812793812_0022.

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Mukamel, Shaul, and Jasper Knoester. "Nonlinear Optical Susceptibilities; Beyond the Local Field Approximation." In Nonlinear Optical Properties of Materials. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/nlopm.1988.mb3.

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The Bloch-Maxwell equations are usually derived for isolated molecules interacting with an external electromagnetic field. This is justified in the limit of low molecular density, where intermolecular forces may be neglected. The problem which we address in this work is how to extend these equations in a systematic way to incorporate properly intermolecular forces. We thus develop a systematic microscopic basis for the calculation of nonlinear response functions and susceptibilities. Such a theory is essential for relating microscopic, single-molecule, polarizabilities to the macroscopic susce

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Reports on the topic "Nonlinear field equations"

1

Davidson, R. C., W. W. Lee, and P. Stoltz. Statistically-averaged rate equations for intense nonneutral beam propagation through a periodic solenoidal focusing field based on the nonlinear Vlasov-Maxwell equations. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/304184.

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Davidson, R. C., and C. Chen. Kinetic description of intense nonneutral beam propagation through a periodic solenoidal focusing field based on the nonlinear Vlasov-Maxwell equations. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/304185.

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Saxena, Avadh. Solitary waves in nonlinear Dirac equation. From field theory to Dirac materials. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1225286.

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