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MathematicsPhysics

EXPANSION METHOD ABOUT THE JACOBI ELLIPTIC FUNCTION ANDITS APPLICATIONS TO NONLINEAR WAVE EQUATIONS

Liu Shi-kuo, Fu Zun-tao, Liu Shi-da, Zhao Qiang

2001.11.20ACTA PHYSICA SINICA

DOI: 10.7498/aps.50.2068

Abstract

A Jacobi elliptic function expansion method is proposed to construct the exact periodic solutions of nonlinear wave equations. This new method contains the hyperbolic tangent expansion method, and the periodic solutions obtained by this method, include the shock wave solutions and the solitary wave solutions.

Citation format

SHI-KUO, Liu, et al. EXPANSION METHOD ABOUT THE JACOBI ELLIPTIC FUNCTION ANDITS APPLICATIONS TO NONLINEAR WAVE EQUATIONS. ACTA PHYSICA SINICA, 2001, 50: 2068–2073.