Determination of boundaries of unsteady oscillatory zone in asymptotic solutions of non-integrable dispersive wave equations

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• 作者：El ; G.A. ; Khodorovskii ; V.V. ; Tyurina ; A.V.
• 关键词：Finite-amplitude waves ; Dispersive shock ; Modulation equations
• 刊名：Physics Letters A
• 出版年：2003
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：November 24, 2003
• 卷：318
• 期：6
• 页码：526-536
• 文件大小：226 K

摘要

We propose a simple general method for analytic determination of the boundaries of the expanding nonlinear oscillation zone occurring in the decay of a step problem for non-integrable dispersive wave equations. A remarkable feature of the method is that it essentially uses only the dispersionless limit and the linear dispersion relation of the original nonlinear dispersive wave system. A concrete example pertaining to collisionless plasma dynamics is considered and complete agreement with the results of earlier numerical simulations is demonstrated.