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
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General high-order rogue waves of the (1+1)-dimensional Yajima-Oikawa system
TL;DR: In this paper, a general high-order rogue wave solution for the (1+1)-dimensional YO system is derived by using Hirota's bilinear method and the KP-hierarchy reduction technique.
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Bilinear equations for the constrained KP hierarchy
Yi Cheng,You-jin Zhang +1 more
TL;DR: In this paper, the bilinear equations for the integrable systems constrained from the KP hierarchy are presented, showing that the equations are linear in the complexity of the system.
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Two-dimensional algebraic-geometric operators with self-consistent potentials
TL;DR: In this article, the authors propose a method to solve the problem of "uniformity" and "uncertainty" in the context of health care, and propose a solution.
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Deformation of surfaces, integrable systems, and Chern–Simons theory
TL;DR: In this article, a geometrical interpretation of the classical non-Abelian pure Chern-Simons action is presented, where the integrable surface deformations are shown to be locally compatible with the Gauss-Mainardi-Codazzi equations.
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Initial–boundary problems for the vector modified Korteweg–de Vries equation via Fokas unified transform method
Huan Liu,Xianguo Geng +1 more
TL;DR: In this article, the vector modified Korteweg-de Vries equation on the half-line is investigated by Fokas unified transform method, and it is shown that the solution q ( x, t ) can be expressed in terms of the solution of a matrix Riemann-Hilbert problem.
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.