| (G'/G)展开法在高维非线性物理方程中的新应用 |
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| 基金项目： | 北京市优秀骨干教师项目 |
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| 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.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.
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| 关 键 词： | (G'/G)展开法 Burgers系统 孤子结构 混沌行为 |
New application of (G'/G)-expansion method to high-dimensional nonlinear physical equations |
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| 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. |
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| Keywords: | (G'/G)-expansion method Burgers system soliton structure chaotic pattern |
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