(G''/G)-expansion method and novel fractal structures for high-dimensional nonlinear physical equation
(G''/G)展开法与高维非线性物理方程的新分形结构

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 coefficient. 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.