1999•Journal of Jishou UniversityRequires access

Integrability and Symmetry Reductions of the K(4,2)_ Model

Lou Sen‐Yue

Abstract

Searching for integrable models is one of the important problems in nonlinear physics.The Koteweg-de-Vries equation is one of the most important (1+1)-dimensional integrable models.In this parper,we have studied the Painlev integrability of a new KdV type equation with nonliear dispersion.Using a direct method of the symmetry reductions,two similar reductions of the model are given.

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Key concepts: Integrable system, Korteweg–de Vries equation, Symmetry (geometry), Mathematical physics, Nonlinear system, Mathematics, Dispersionless equation, Type (biology)