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

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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Veröffentlicht in:	Nonlinearity 2012-05, Vol.25 (5), p.1235-1245
Hauptverfasser:	KENIG, C. E, PONCE, G, VEGA, L
Format:	Artikel
Sprache:	eng
Schlagworte:	Amplitudes Constrictions Decay rate Exact sciences and technology Global analysis, analysis on manifolds Lower bounds Mathematical analysis Mathematical methods in physics Mathematics Nonlinearity Other topics in mathematical methods in physics Partial differential equations Physics Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Traveling waves
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Beschreibung
Zusammenfassung:	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.
ISSN:	0951-7715 1361-6544
DOI:	10.1088/0951-7715/25/5/1235