Lower bounds for non-trivial travelling wave solutions of equations of KdV type

Carlos E. Kenig, Gustavo Ponce, Luis Vega

Type: Article

Publication Date: 2012-04-02

Citations: 5

DOI: https://doi.org/10.1088/0951-7715/25/5/1235

Abstract

We prove that if a solution of an equation of KdV type is bounded above by a travelling wave with an amplitude that decays faster than a given linear exponential then it must be zero. We assume no restrictions neither on the size nor in the direction of the speed of the travelling wave.

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Nonlinearity - View
arXiv (Cornell University) - View - PDF
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