An algebraic method exactly solving two high-dimensional nonlinear evolution equations

作者：Hu JQ^*

来源：Chaos Solitons & Fractals, 2005, 23(2): 391-398.

DOI：10.1016/j.chaos.2004.02.044

An algebraic method is applied to construct soliton solutions, doubly periodic solutions and a range of other solutions of physical interest for two high-dimensional nonlinear evolution equations. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the solutions at a certain limit condition. Compared with most existing tanh methods, the proposed method gives new and more general solutions. More importantly, the method provides a guideline to classify the various types of the solutions according to some parameters.

• 出版日期2005-1
• 单位复旦大学