English

The Cauchy problem for a short-wave equation

Analysis of PDEs 2009-02-12 v1 Classical Analysis and ODEs Functional Analysis

Abstract

We prove an existence and uniqueness of solution for the Cauchy problem of the simplest nonlinear short-wave equation, utx=u3u2u_{tx}=u-3u^{2}, with periodic boundary condition.

Keywords

Cite

@article{arxiv.0811.2504,
  title  = {The Cauchy problem for a short-wave equation},
  author = {S. M. A. Gama and G. Smirnov},
  journal= {arXiv preprint arXiv:0811.2504},
  year   = {2009}
}
R2 v1 2026-06-21T11:42:04.476Z