2004•Journal of Luoyang Institute of TechnologyRequires access

Periodic Solution to KdV Equation with Variable Coefficients

Xu Li

Abstract

By using the homogenous balance principle and F-expansion method,a number of periodic wave solutions expressed by Jacobi elliptic functions to the KdV equation with variable coefficients and the cylindrical KdV equation are obtained,in the limit cases,the solitary wave solutions and triangle function solutions are obtained as well.

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Key concepts: Korteweg–de Vries equation, Elliptic function, Variable (mathematics), Mathematics, Mathematical analysis, Limit (mathematics), Cnoidal wave, Function (biology)