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arXiv · 0906.1536

The short pulse equation and associated constraints

Theodoros P. Horikis
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Abstract

The short pulse equation (SPE) is considered as an initial-boundary value problem. It is found that the solutions of the SPE must satisfy an integral relation otherwise the temporal derivative exhibits discontinuities. This integral relation is not necessary for a solution to exist. An infinite number of such constraints can be dynamically generated by the evolution equation.

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Theodoros P. Horikis. 2009-09-02. The short pulse equation and associated constraints. https://doi.org/10.1088/1751-8113%2F42%2F44%2F442004

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