Numerical Solitons of Generalized Korteweg-de Vries Equations

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dc.creatorHan, Houde
dc.creatorXu, Zhenli
dc.date2005-07-01
dc.date.accessioned2026-07-07T06:33:29Z
dc.date.available2026-07-07T06:33:29Z
dc.descriptionWe propose a numerical method for finding solitary wave solutions of generalized Korteweg-de Vries equations by solving the nonlinear eigenvalue problem on an unbounded domain. The artificial boundary conditions are obtained to make the domain finite. We specially discuss the soliton solutions of the K(m, n) equation and KdV-K(m,n) equation. Furthermore for the mixed models of linear and nonlinear dispersion, the collision behaviors of soliton-soliton and soliton-antisoliton are observed.
dc.description9 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0507004
dc.identifierhttp://arxiv.org/abs/math-ph/0507004
dc.identifierdoi:10.1016/j.amc.2006.07.111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99211
dc.subjectMathematical Physics
dc.subject35Q51;35Q53
dc.titleNumerical Solitons of Generalized Korteweg-de Vries Equations
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