Soliton stability in plasmas and hydrodynamics

E. A. Kuznetsov, A. M. Rubenchik, Vladimir E Zakharov

Research output: Contribution to journalArticle

385 Scopus citations

Abstract

The stability of solitons is reviewed for nonlinear conservative media. The main attention is paid to the description of the methods: perturbation theory, inverse scattering transform, Lyapunov method. Its applications are demonstrated in detail for the nonlinear Schrödinger equation, the KdV equation, and their generalizations. Applications to problems in plasma physics and hydrodynamics are considered.

Original languageEnglish (US)
Pages (from-to)103-165
Number of pages63
JournalPhysics Reports
Volume142
Issue number3
DOIs
Publication statusPublished - 1986
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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