Open AccessNew infinite sequence exact solutions of nonlinear evolution equations with variable coefficients by the second kind of elliptic equation
Author(s) -
Taogetusang,
Narenmandula
Publication year - 2011
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.60.090201
Subject(s) - sequence (biology) , elliptic function , transformation (genetics) , variable (mathematics) , nonlinear system , korteweg–de vries equation , mathematics , soliton , function (biology) , jacobi elliptic functions , mathematical analysis , exact solutions in general relativity , elliptic curve , physics , quantum mechanics , biochemistry , chemistry , genetics , evolutionary biology , biology , gene
In the paper, to construct new infinite sequence exact solutions of nonlinear evolution equations, several kinds of new solutions of the second kind of elliptic equation Bäcklund transformation are proposed. The KdV equation containing variable coefficients and forcible term, combined with (2+1)-dimensional and (3+1)-dimensional Zakharov-Kuznetsov equation with variable coefficients is taken as example to construct new infinite sequence exact solutions of these equations with the help of symbolic computation system Mathematica, which include infinite sequence compact soliton solutions of Jacobi elliptic function and triangular function, and infinite sequence peak soliton solutions.