SU\G(𝔾)/K·U

On the Cauchy problem for the Zakharov-Rubenchik/ Benney-Roskes system

Hung Truyen Luong, Norbert J. Mauser, Jean‐Claude Saut

Type: Article

Publication Date: 2018-01-01

Citations: 11

DOI: https://doi.org/10.3934/cpaa.2018075

Abstract

We address various issues concerning the Cauchy problem for the Zakharov-Rubenchik system(known as the Benney-Roskes system in water waves theory), which models the interaction of short and long waves in many physical situations. Motivated by the transverse stability/instability of the one-dimensional solitary wave (line solitary), we study the Cauchy problem in the background of a line solitary wave.

Locations

  • Communications on Pure &amp Applied Analysis - View - PDF
  • arXiv (Cornell University) - View - PDF

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+ On the decay problem for the Zakharov and Klein-Gordon Zakharov systems in one dimension 2020 MarĂ­a E. MartĂ­nez
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+ PDF Chat On long-time behavior of solutions of the Zakharov–Rubenchik/Benney–Roskes system 2021 María E. Martínez
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