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EXPANSION METHOD ABOUT THE JACOBI ELLIPTIC FUNCTION ANDITS APPLICATIONS TO NONLINEAR WAVE EQUATIONS
Acta Physica Sinica2001Vol. 50(11), pp. 2068–2068
Citations Over TimeTop 15% of 2001 papers
Liu Shi-Kuo, Zuntao Fu, Shida Liu, Qiang Zhao, (1)北京大学地球物理系,北京100871; (2)北京大学地球物理系,北京100871,北京大学湍流研究国家重点实验室,北京100871
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.
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