Long-Time Dynamics of Variable Coefficient mKdV Solitary Waves

Simple item page
dc.creatorDejak, S. I.
dc.creatorJonsson, B. L. G.
dc.date2005-03-08
dc.date.accessioned2026-07-07T07:54:52Z
dc.date.available2026-07-07T07:54:52Z
dc.descriptionWe study the Korteweg-de Vries-type equation dt u=-dx(dx^2 u+f(u)-B(t,x)u), where B is a small and bounded, slowly varying function and f is a nonlinearity. Many variable coefficient KdV-type equations can be rescaled into this equation. We study the long time behaviour of solutions with initial conditions close to a stable, B=0 solitary wave. We prove that for long time intervals, such solutions have the form of the solitary wave, whose centre and scale evolve according to a certain dynamical law involving the function B(t,x), plus an H^1-small fluctuation.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0503016
dc.identifierhttp://arxiv.org/abs/math-ph/0503016
dc.identifierJ. Math. Phys. 47, 072703 (2006)
dc.identifierdoi:10.1063/1.2217809
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126773
dc.subjectMathematical Physics
dc.subject35Q53; 35K40
dc.titleLong-Time Dynamics of Variable Coefficient mKdV Solitary Waves
dc.typetext

Files

Collections

arXiv