Doubly periodic solutions of the modified Kawahara equation

作者：Zhang D^*

来源：Chaos Solitons & Fractals, 2005, 25(5): 1155-1160.

DOI：10.1016/j.chaos.2004.11.084

Some doubly periodic (Jacobi elliptic function) solutions of the modified Kawahara equation are presented in closed form. Our approach is to introduce a new auxiliary ordinary differential equation and use its Jacobi elliptic function solutions to construct doubly periodic solutions of the modified Kawahara equation. When the module m -> 1, these solutions degenerate to the exact solitary wave solutions of the equation. Then we reveal the relation of some exact solutions for the modified Kawahara equation obtained by other authors.

• 出版日期2005-9
• 单位扬州大学