The Cauchy problem for a short-wave equation

Details The Cauchy problem for a short-wave equation The Cauchy problem for a short-wave equation

2008-11-15

arxiv.org/abs/0811.2504v1

Electron. J. Diff. Eqns., Vol. 2009(2009), No. 08, pp. 1-9.

Mathematics

Analysis of PDEs

Scientific paper

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

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