Polygons for finding exact solutions of nonlinear differential equations

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dc.creatorKudryashov, Nikolai A.
dc.creatorDemina, Maria V.
dc.date2006-01-16
dc.date.accessioned2026-07-07T06:59:36Z
dc.date.available2026-07-07T06:59:36Z
dc.descriptionNew method for finding exact solutions of nonlinear differential equations is presented. It is based on constructing the polygon corresponding to the equation studied. The algorithms of power geometry are used. The method is applied for finding one -- parameter exact solutions of the generalized Korteveg -- de Vries -- Burgers equation, the generalized Kuramoto - Sivashinsky equation, and the fifth -- order nonlinear evolution equation. All these nonlinear equations contain the term $u^mu_x$. New exact solitary waves are found.
dc.description16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/nlin/0601035
dc.identifierhttp://arxiv.org/abs/nlin/0601035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107806
dc.subjectExactly Solvable and Integrable Systems
dc.titlePolygons for finding exact solutions of nonlinear differential equations
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