Open AccessEXPANSION METHOD ABOUT THE JACOBI ELLIPTIC FUNCTION ANDITS APPLICATIONS TO NONLINEAR WAVE EQUATIONS
Author(s) -
Liu Shi-Kuo,
Zuntao Fu,
Shida Liu,
Q. Zhao
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.2068
Subject(s) - elliptic function , jacobi elliptic functions , cnoidal wave , nonlinear system , periodic wave , mathematical analysis , elliptic integral , hyperbolic function , tangent , shock wave , quarter period , function (biology) , mathematics , traveling wave , physics , elliptic curve , wave equation , mechanics , geometry , quantum mechanics , evolutionary biology , biology
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.