The Cauchy problem for a short-wave equation

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

Bibliographic Details
Main Authors: Gueorgui Smirnov, Silvio Marques A. Gama
Format: Article
Language:English
Published: Texas State University 2009-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/08/abstr.html
Description
Summary:We prove existence and uniqueness of solutions for the Cauchy problem of the simplest nonlinear short-wave equation, $u_{tx}=u-3u^{2}$, with periodic boundary condition.
ISSN:1072-6691