Open AccessJacobi elliptic function expansion method under a general function transform and its applications
Author(s) -
Liu Guan-ting,
Fan Tian-you
Publication year - 2004
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.53.676
Subject(s) - elliptic function , jacobi elliptic functions , elliptic integral , nonlinear system , function (biology) , mathematical analysis , traveling wave , mathematics , jacobi method , quarter period , elliptic curve , physics , quantum mechanics , evolutionary biology , biology
A Jacobi elliptic function expansion method under a general function transform, which is more general than the Jacobi elliptic function expansion method under a traveling wave transform, is proposed to construct the exact solutions of nonlinear evolution equations. It is shown that some new exact periodic solutions of them are obtained by this method and these new solutions include previous solutions. Meanwhile, it is proved that the periodic solutions of some nonlinear evolution equations must be traveling solutions.