Formation and Interaction of Sonic-Langmuir Solitons Inverse Scattering Method
Nobuo Yajima,Masayuki Oikawa +1 more
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This article is published in Progress of Theoretical Physics.The article was published on 1976-12-01 and is currently open access. It has received 300 citations till now. The article focuses on the topics: Scattering theory & Scattering amplitude.read more
Citations
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New explicit solutions for (2 + 1)-dimensional soliton equation ☆
Caier Ye,Weiguo Zhang +1 more
TL;DR: In this article, the authors studied the (2 + 1)-dimensional soliton equation by using the bifurcation theory of planar dynamical systems and obtained all explicit formulas of solitary wave solutions and periodic wave solutions.
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Nondegenerate soliton solutions in certain coupled nonlinear Schrödinger systems
TL;DR: In this paper, a general class of non-degenerate soliton solutions, associated with two distinct wave numbers in different modes, for a certain class of physically important integrable two component nonlinear Schrodinger type equations through bilinearization procedure was reported.
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Hybrid solutions to Mel’nikov system
Xiaoen Zhang,Tao Xu,Yong Chen +2 more
TL;DR: Based on the KP hierarchy reduction technique, explicit two kinds of breather solutions to Mel'nikov system are constructed, one breather is localized in the x-direction and period in the y-direction, the other is opposite, that is localized on the y direction and period on the x direction as mentioned in this paper.
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Asymptotic reductions of two coupled (2 + 1)-dimensional nonlinear Schrödinger equations: application to Bose–Einstein condensates
TL;DR: In this article, the authors considered a system of two coupled (2 + 1)-dimensional nonlinear Schrodinger equations, describing two-component disc-shaped Bose-Einstein condensates, and presented three different asymptotic reductions of this system.
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New exact solutions for coupled nonlinear system of ion sound and Langmuir waves
TL;DR: In this article, a new wave behavior of the nonlinear system associated with ionic wave equations under the influence of the ponderomotive force caused by a nonlinear force experienced by a charged particle in an inhomogeneous oscillating electromagnetic field due to high-frequency field was studied.
References
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Essentially nonlinear one-dimensional model of classical field theory
L. A. Takhtadzhyan,L. D. Faddeev +1 more
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On the Dynamics of Sonic-Langmuir Solitons
TL;DR: In this paper, the nonstationary evolution of nonlinear Langmuir waves is considered and the process of soliton formation is studied in the case where the perturbation propagates with a speed close to that of sound.
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Method for Solving the Sine-Gordon Equation in Laboratory Coordinates†
TL;DR: Inverse scattering transforms as discussed by the authors can be used to solve the sine-Gordon equation in laboratory coordinates, which can be seen as a generalization of the direct and inverse scattering transforms.