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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Continuous Stokes self-scattering of an optical pulse in a uniaxial crystal in the case of Zakharov?Benney resonance
Sergei V Sazonov,A F Sobolevskii +1 more
TL;DR: In this article, a new mechanism of the continuous frequency down-conversion of a pulse propagating in a uniaxial crystal under conditions of the Zakharov?Benney resonance between its ordinary and extraordinary components is proposed.
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Classical W-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents
TL;DR: In this article, the first non-trivial PDE of the corresponding integrable generalized Drinfeld-Sokolov hierarchies of affine classical Lie algebras was derived.
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Dynamics and interaction scenarios of localized wave structures in the Kadomtsev–Petviashvili-based system
TL;DR: By using a combination of the Hirota’s bilinear method and the KP hierarchy reduction method, new families of determinant semi-rational solutions of the KP-based system are derived, including lump solitons and rogue-wave Solitons.
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Recurrence and chaotic behavior resulting from nonlinear interaction between long and short waves
TL;DR: In this paper, the authors examined the long time asymptotic behavior resulting from nonlinear interaction between long and short waves by using the Fourier expansion method and found that the chaotic motion is possible, even in a case for which only a single unstable mode exists in the two Fourier modes.
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.