(G′/G)展开法在高维非线性物理方程中的新应用  

New application of (G′/G)-expansion method to high-dimensional nonlinear physical equations

作　　者：马玉兰[1] 李帮庆[1] 孙践知[1] 

机构地区：[1]北京工商大学计算机与信息工程学院,北京100048

出　　处：《物理学报》2009年第11期7402-7409,共8页Acta Physica Sinica

基　　金：北京市优秀骨干教师项目(批准号:19004811009;PXM2007-014213-044566)资助的课题~~

摘　　要：将(G′/G)展开首次法扩展到构造高维非线性物理方程的精确非行波通解、研究解的特殊孤子结构和混沌行为.作为(G′/G)展开法的新应用,获到了(3+1)维非线性Burgers系统的新非行波通解,对通解中的任意函数进行适当的设置,探讨了特殊孤子结构的激发和演化、解的混沌行为和演化.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.

关 键 词：(G′/G)展开法 Burgers系统 孤子结构 混沌行为 

分 类 号：O411[理学—理论物理]