Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations

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dc.creatorCote, Raphael
dc.creatorMartel, Yvan
dc.creatorMerle, Frank
dc.date2009-05-04
dc.date.accessioned2026-07-07T13:11:47Z
dc.date.available2026-07-07T13:11:47Z
dc.descriptionMulti-soliton solutions, i.e. solutions behaving as the sum of N given solitons as $t\to +\infty$, were constructed in previous works for the L2 critical and subcritical (NLS) and (gKdV) equations. In this paper, we extend the construction of multi-soliton solutions to the L2 supercritical case both for (gKdV) and (NLS) equations, using a topological argument to control the direction of instability.
dc.identifierhttps://arxiv.org/abs/0905.0470
dc.identifierhttp://arxiv.org/abs/0905.0470
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229393
dc.subjectAnalysis of PDEs
dc.titleConstruction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations
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