Travelling Wave Solutions in Nonlinear Diffusive and Dispersive Media

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dc.creatorBazeia, D.
dc.creatorRaposo, E. P.
dc.date1998-04-25
dc.date.accessioned2026-07-07T06:17:35Z
dc.date.available2026-07-07T06:17:35Z
dc.descriptionWe investigate the presence of soliton solutions in some classes of nonlinear partial differential equations, namely generalized Korteweg-de Vries-Burgers, Korteveg-de Vries-Huxley, and Korteveg-de Vries-Burgers-Huxley equations, which combine effects of diffusion, dispersion, and nonlinearity. We emphasize the chiral behavior of the travelling solutions, whose velocities are determined by the parameters that define the equation. For some appropriate choices, we show that these equations can be mapped onto equations of motion of relativistic 1+1 dimensional phi^{4} and phi^{6} field theories of real scalar fields. We also study systems of two coupled nonlinear equations of the types mentioned.
dc.description10 pages, Latex
dc.identifierhttps://arxiv.org/abs/solv-int/9804017
dc.identifierhttp://arxiv.org/abs/solv-int/9804017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94433
dc.subjectExactly Solvable and Integrable Systems
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleTravelling Wave Solutions in Nonlinear Diffusive and Dispersive Media
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