Generalized Nonlinear Equation and Solutions for Fluid Contour Deformations

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dc.creatorLudu, A.
dc.creatorIonescu, A. R.
dc.date2002-01-25
dc.date.accessioned2026-07-07T04:28:57Z
dc.date.available2026-07-07T04:28:57Z
dc.descriptionWe generalize the nonlinear one-dimensional equation for a fluid layer surface to any geometry and we introduce a new infinite order differential equation for its traveling solitary waves solutions. This equation can be written as a finite-difference expression, with a general solution that is a power series expansion with coefficients satisfying a nonlinear recursion relation. In the limit of long and shallow water, we recover the Korteweg-de Vries equation together with its single-soliton solution.
dc.identifierhttps://arxiv.org/abs/math-ph/0201056
dc.identifierhttp://arxiv.org/abs/math-ph/0201056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56984
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject35Q51; 35Q53
dc.titleGeneralized Nonlinear Equation and Solutions for Fluid Contour Deformations
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