Nonlinear differential equations with exact solutions

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dc.creatorKudryashov, N. A.
dc.date2003-11-27
dc.date.accessioned2026-07-07T05:35:09Z
dc.date.available2026-07-07T05:35:09Z
dc.descriptionNew problem is considered that is to find nonlinear differential equations with special solutions. Method is presented to construct nonlinear ordinary differential equations with exact solution. Crucial step to the method is the assumption that nonlinear differential equations have exact solution which is general solution of the simplest integrable equation. The Riccati equation is shown to be a building block to find a lot of nonlinear differential equations with exact solutions. Nonlinear differential equations of the second, third and fourth order with special solutions are given. Most of these equations are used at the description of processes in physics and in theory of nonlinear waves.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/nlin/0311058
dc.identifierhttp://arxiv.org/abs/nlin/0311058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80612
dc.subjectExactly Solvable and Integrable Systems
dc.subjectChaotic Dynamics
dc.titleNonlinear differential equations with exact solutions
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