Open AccessNew exact solutions for nonlinear Klein-Gordon equations
Author(s) -
Han Zhao-xiu
Publication year - 2005
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.54.1481
Subject(s) - elliptic function , periodic wave , transformation (genetics) , traveling wave , klein–gordon equation , degenerate energy levels , trigonometry , mathematical analysis , trigonometric functions , nonlinear system , cnoidal wave , mathematical physics , physics , function (biology) , mathematics , wave equation , quantum mechanics , geometry , biochemistry , chemistry , evolutionary biology , biology , gene
Using the travelling wave transformation instead of the more general function tr ansformation, the modified Jacobi elliptic function expansion method is improved . Some new periodic solutions of nolinear Klein-Gordon equation are obtained usi ng this method. When modulus m→1 or m→0, these periodic solutions dege nerate to the corresponding solitary wave solutions, trigonometric function solu tions or irregular travelling wave solutions. For some nonlinear equations, the general transformation would degenerate to the travelling wave reduction under certain conditions.