Article ID Journal Published Year Pages File Type
10733144 Chaos, Solitons & Fractals 2005 6 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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