【摘要】 将(G′/G)展开法扩展到研究高维非线性物理方程的非行波解和分形结构.以(2+1)维变系数色散长波系统为例,构造出该系统的非行波解,对解中的任意函数进行适当的设置,发现了一类新的分形结构,即十字形分形结构.更多还原

【Abstract】 The (G′/G)-expansion method is extended to construct non-traveling wave solutions and explore the fractal structure for high dimensional nonlinear physical equation. As an example, a series of non-traveling solutions is obtained for the (2+1)-dimensional dispersive long wave system with variable co efficient. Furthermore, by setting properly the arbitrary functions in the solutions, a class of novel fractal structures, namely, the cross-like fractal structures are firstly observed.更多还原