New Application of the (G '/G)-Expansion Method to Excite Soliton Structures for Nonlinear Equation

摘要

The (G'/G)-expansion method is extended to construct non-travelling wave solutions for high-dimensional nonlinear equations and to explore special soliton structure excitations and evolutions. Taking an example, a new series of the non-travelling wave solutions are calculated for the (2 1)dimensional asymmetrical Nizhnik-Novikov-Veselov system by using the (G'/G)-expansion method. By selecting appropriately the arbitrary functions in the solutions, special soliton-structure excitations and evolutions are studied.

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