The short pulse equation and associated constraints
classification
🌊 nlin.SI
nlin.PS
keywords
equationconstraintsintegralpulserelationshortassociatedconsidered
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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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