物理学报2009，Vol.58Issue(11)：7402-7409,8.
(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
摘要
Abstract
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Key words
(G'/G)-expansion method/Burgers system/soliton structure/chaotic pattern分类
数理科学引用本文复制引用
马玉兰,李帮庆,孙践知..(G'/G)展开法在高维非线性物理方程中的新应用[J].物理学报,2009,58(11):7402-7409,8.基金项目
北京市优秀骨干教师项目(批准号:19004811009,PXM2007-014213-044566)资助的课题.Project supported by the Excellent Key Teachers Project of Beijing, China(Grant Nos. 19004811009 and PXM2007-014213-O44566). （批准号:19004811009,PXM2007-014213-044566）
