Exact Solutions and Backlund Transform of Five Dispersion Equation
Journal Title: 河南科技大学学报（自然科学版） - Year 2018, Vol 39, Issue 1
Abstract
By using the extended Clarkson and Kruskal (CK) method, the five order dispersion equation with variable coefficients was transformed into the five order dispersion equation with constant coefficients, and the equivalent transformation was obtained.The Lie symmetry method was used to obtain the Lee point symmetries and the reduced equations for the five order dispersive equations with constant coefficients.The exact solutions of the five order dispersion equation with variable coefficients were obtained.The Painlevé test of the five order dispersion equation with constant coefficients was conducted to prove the integrability of equation.
Authors and Affiliations
Lixiang ZHANG, Hanze LIU
Keywords
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