Open AccessNew application of (G′/G)-expansion method to high-dimensional nonlinear physical equations
Author(s) -
马玉兰,
李帮庆,
孙践知
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.58.7402
Subject(s) - nonlinear system , chaotic , soliton , excitation , physics , traveling wave , evolution equation , function (biology) , mathematical analysis , mathematics , computer science , quantum mechanics , artificial intelligence , evolutionary biology , biology
The G′/G)-expansion method is firstly extended to construct exact non-traveling wave general solutions of high-dimensional nonlinear equations, explore special soliton-structure excitation and evolution, and investigate the chaotic patterns and evolution of these solutions. Taking as an example, new non-traveling solutions are calculated for 3+1)-dimensional nonlinear Burgers system by using the G′/G)-expansion method. By setting properly the arbitrary function in the solutions, special soliton-structure excitation and evolution are observed, and the chaotic patterns and evolution are studied for the solutions.