Journal ArticleDOI
To the integrability of the equations describing the Langmuir-wave-ion-acoustic-wave interaction
Eugene Benilov,S.P. Burtsev +1 more
Reads0
Chats0
TLDR
In this article, it was shown that the system of equations describing the Langmuir-wave-ion-acoustic-wave interaction is not integrable via an inverse scattering transform.About:
This article is published in Physics Letters A.The article was published on 1983-10-24. It has received 37 citations till now. The article focuses on the topics: Inverse scattering transform & Inverse scattering problem.read more
Citations
More filters
Journal ArticleDOI
A search for bilinear equations passing Hirota's three-soliton condition. II. mKdV-type bilinear equations
TL;DR: In this paper, the results of a search for complex bilinear equations with two-soliton solutions are presented, and it is found that the existence of two-solomon solutions is not automatic, but introduces conditions that are like the usual three and four-solon conditions.
Journal ArticleDOI
One-dimensional wave turbulence
TL;DR: In this paper, a review of wave turbulence in various wave equations, and in particular in a simple one-dimensional model of wave turbolaine, is presented, and the main conclusion is that the range in which the theory of pure weak turbulence is valid is narrow.
Journal ArticleDOI
Interaction Equations for Short and Long Dispersive Waves
TL;DR: In this article, it was shown that for any initial data (u0, v0) ∈ Hs(R)×Hs−1/2 (R) (s⩾ 0), the solution for the above equation uniquely exists in a subset of C((−T, T, T);Hs)×C(( −T, ǫ);T,ǫ) and depends continuously on the data.
Journal ArticleDOI
Solitons and Weakly Nonlinear Waves in Plasmas
TL;DR: Theoretical descriptions of solitons and weakly nonlinear waves propagating in plasma media are reviewed, with particular attention to the Korteweg-de Vries (KDV) equation and the Nonlinear Schrodinger equation (NLS) as mentioned in this paper.
Journal ArticleDOI
Well-posedness for the Schrödinger-Korteweg-de Vries system
A. J. Corcho,Felipe Linares +1 more
TL;DR: In this article, the authors studied the well-posedness of the Cauchy problem associated to the Schrodinger-Korteweg-de Vries system and obtained the best result for weak initial data in the Sobolev space L 2 (R) x H -3 4+.
References
More filters
Journal ArticleDOI
On the multi-soliton solutions of some nonlinear evolution equations
TL;DR: In this article, the Hirota method was applied to obtain multisoliton solutions of important nonlinear evolution equations and to study the interaction of the solitons, assuming cold ions, small ion density perturbations, and a linear relationship.
Related Papers (5)
Coupled Nonlinear Electron-Plasma and Ion-Acoustic Waves
Formation and Interaction of Sonic-Langmuir Solitons Inverse Scattering Method
Nobuo Yajima,Masayuki Oikawa +1 more