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Relevant bibliographies by topics / Zakharov system

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Journal articles

Academic literature on the topic 'Zakharov system'

Author: Grafiati

Published: 4 June 2021

Last updated: 22 February 2023

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Journal articles on the topic "Zakharov system"

1

Bourgain, Jean. "Zakharov system." Duke Mathematical Journal 76, no. 1 (1994): 175–202. http://dx.doi.org/10.1215/s0012-7094-94-07607-2.

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2

Khalique, Chaudry Masood. "Exact Explicit Solutions and Conservation Laws for a Coupled Zakharov-Kuznetsov System." Mathematical Problems in Engineering 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/461327.

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We study a coupled Zakharov-Kuznetsov system, which is an extension of a coupled Korteweg-de Vries system in the sense of the Zakharov-Kuznetsov equation. Firstly, we obtain some exact solutions of the coupled Zakharov-Kuznetsov system using the simplest equation method. Secondly, the conservation laws for the coupled Zakharov-Kuznetsov system will be constructed by using the multiplier approach.

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3

Shcherbina, A. S. "The Singular Limit of the Dissipative Zakharov System." Zurnal matematiceskoj fiziki, analiza, geometrii 11, no. 1 (2015): 75–99. http://dx.doi.org/10.15407/mag11.01.075.

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4

Goubet, O., and I. Moise. "Attractor for dissipative Zakharov system." Nonlinear Analysis: Theory, Methods & Applications 31, no. 7 (1998): 823–47. http://dx.doi.org/10.1016/s0362-546x(97)00441-0.

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5

Linares*, F., G. Ponce**, and J.-C. Saut. "On a Degenerate Zakharov System." Bulletin of the Brazilian Mathematical Society, New Series 36, no. 1 (2005): 1–23. http://dx.doi.org/10.1007/s00574-005-0025-3.

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6

Fang, Yung-Fu, Hsi-Wei Shih, and Kuan-Hsiang Wang. "Local well-posedness for the quantum Zakharov system in one spatial dimension." Journal of Hyperbolic Differential Equations 14, no. 01 (2017): 157–92. http://dx.doi.org/10.1142/s0219891617500059.

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We consider the quantum Zakharov system in one spatial dimension and establish a local well-posedness theory when the initial data of the electric field and the deviation of the ion density lie in a Sobolev space with suitable regularity. As the quantum parameter approaches zero, we formally recover a classical result by Ginibre, Tsutsumi, and Velo. We also improve their result concerning the Zakharov system and a result by Jiang, Lin, and Shao concerning the quantum Zakharov system.

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7

Al-Askar, Farah M., Wael W. Mohammed, Mohammad Alshammari, and M. El-Morshedy. "Effects of the Wiener Process on the Solutions of the Stochastic Fractional Zakharov System." Mathematics 10, no. 7 (2022): 1194. http://dx.doi.org/10.3390/math10071194.

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We consider in this article the stochastic fractional Zakharov system derived by the multiplicative Wiener process in the Stratonovich sense. We utilize two distinct methods, the Riccati–Bernoulli sub-ODE method and Jacobi elliptic function method, to obtain new rational, trigonometric, hyperbolic, and elliptic stochastic solutions. The acquired solutions are helpful in explaining certain fascinating physical phenomena due to the importance of the Zakharov system in the theory of turbulence for plasma waves. In order to show the influence of the multiplicative Wiener process on the exact solut

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8

Li, Rui, Xing Lin, Zongwei Ma, and Jingjun Zhang. "Existence and Uniqueness of Solutions for a Type of Generalized Zakharov System." Journal of Applied Mathematics 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/193589.

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We study the Cauchy problem for a type of generalized Zakharov system. With the help of energy conservation and approximate argument, we obtain global existence and uniqueness in Sobolev spaces for this system. Particularly, this result implies the existence of classical solution for this generalized Zakharov system.

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9

Kato, Isao. "Local well-posedness for the quantum Zakharov system in three and higher dimensions." Journal of Hyperbolic Differential Equations 18, no. 02 (2021): 257–70. http://dx.doi.org/10.1142/s0219891621500077.

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We study the Cauchy problem associated with a quantum Zakharov-type system in three and higher spatial dimensions.Taking the quantum parameter to unit and developing Fourier restriction norm arguments, we establish local well-posedness property for wider range than the one known for the Zakharov system.

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10

Glushanovsky, A. V., M. V. Levner, and N. E. Kalenov. "Alexander G. Zakharov – the first directorof the RAS Library for Natural Sciences. On the occasion of his 100th anniversary." Scientific and Technical Libraries 1, no. 2 (2021): 129–40. http://dx.doi.org/10.33186/1027-3689-2021-2-129-140.

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The article is dedicated to the memory of the first director of the Library of Natural Sciences of the Russian Academy of Sciences (before 1991, the USSR Academy of Sciences). The Library for Natural Sciences was established in 1973 on the basis of the Sector for Special Libraries (in charge of collection development of Moscow research institutes and of their union catalog maintenance). The Library for Natural Sciences was conceived as an information library center focused on science and research information support based on modern technologies. Alexander Grigorievich Zakharov, newly-retired m

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