Open AccessA method for constructing exact solutions of nonlinear evolution equation with variable coefficients
Author(s) -
Taogetusang,
Sirendaoerji
Publication year - 2009
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.58.2121
Subject(s) - elliptic function , transformation (genetics) , variable (mathematics) , trigonometric functions , variable coefficient , symbolic computation , nonlinear system , computation , mathematics , korteweg–de vries equation , function (biology) , exact solutions in general relativity , mathematical analysis , elliptic curve , physics , algorithm , biochemistry , chemistry , geometry , quantum mechanics , evolutionary biology , biology , gene
A function transformation method for constructing exact solutions of the variable coefficient nonlinear evolution equations is proposed. The method together with the the second kind of elliptic equation and the symbolic computation system Mathematica is used to construct the new exact Jacobi elliptic function solutions, the degenerated soliton-like solutions and trigonometric function solutions of the composed KdV equation with forced variable coefficients.