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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
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~~
