Open AccessJacobi elliptic function solutions to the coupled KdV-mKdV equation
Author(s) -
Pan Jun-Ting,
Liang Gong
Publication year - 2007
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.56.5585
Subject(s) - korteweg–de vries equation , elliptic function , jacobi elliptic functions , nonlinear system , function (biology) , cnoidal wave , quarter period , elliptic integral , jacobi method , elliptic rational functions , theta function , elliptic curve , mathematical analysis , mathematics , physics , partial differential equation , quantum mechanics , evolutionary biology , biology
Based on the new expansion of the first kind of elliptic function, a method for constructing Jacobi elliptic function solutions to nonlinear wave equations is p roposed. The method is applied to the coupled KdV-mKdV equation and some new Jacobi elliptic function solutions to the equation are obtained. Some specific kind s of solutions and their relevant figures are also presented.