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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Multi-dark soliton solutions of the two-dimensional multi-component Yajima-Oikawa systems
TL;DR: In this article, a general form of multi-dark soliton solutions of two-dimensional multi-component soliton systems is presented, which are often called the 2D and 1D multicomponent long wave-short wave resonance interaction systems.
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Zakharov-Benney resonance in optics, acoustics, and optoacoustics
TL;DR: In this paper, the authors considered the generation of low-frequency signals using high-frequency ones in quadratically nonlinear media, based on the mechanism of Zakharov-Benney resonance.
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A Soliton Perturbation Scheme for 3×3 Inverse Scattering Formalism with Application to the Problem of Self-Focussing of Polarised Wave in a Nonlinear Medium
TL;DR: In this paper, a perturbation methodology has been developed for soliton solutions of nonlinear equations, tractable with the help of 3 × 3 IST formalism, and necessary formulae have been derived for describing the time evolution of the eigenvalue and the scattering data associated with the linear problem.
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Factorisation of recursion operators of some Lagrangian systems
TL;DR: In this paper, it was shown that a recursion operator of an S-integrable hyperbolic equation that degenerates into a Liouvile-type equation admits a particular factorisation.
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New equations for the nonlinear interaction of long ion-acoustic waves and short Langmuir waves in a plasma under Benney's resonance condition
TL;DR: In this paper, the nonlinear interaction between long ion-acoustic waves and short Langmuir waves under Benney's resonance condition is reanalysed on the basis of a two-fluid model for the plasma.
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.