2007•Acta Physica SinicaOpen access

New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation

Mao Jie-Jian, Jian-Rong Yang, 江西上饶师范学院物理系，上饶 334001

Abstract

By the transforming with general KdV equation, the solutions of the variable coefficient generalized KdV equation are constructed firstly. As a result, we successfully obtain the new exact Jacobi elliptic function solutions, solitary-wave-like solutions, trigonometric function solutions and Weierstrass elliptic function solutions of variable coefficient generalized KdV equation.

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Key concepts: Korteweg–de Vries equation, Variable coefficient, Elliptic function, Variable (mathematics), Trigonometric functions, Mathematical analysis, Function (biology), Trigonometry