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arxiv: 1508.06120 · v2 · pith:NBHL7UDLnew · submitted 2015-08-25 · 🧮 math.AP

Existence of bound states for (N+1)-coupled long-wave--short-wave interaction equations

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keywords interactionboundcoupledequationsexistencelong-wave--short-wavestatesdescribes
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We prove the existence of an infinite family of smooth positive bound states for (N +1)-coupled long-wave--short-wave interaction equations. The system describes the interaction between N short waves and a long wave and is of interest in physics and fluid dynamics.

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