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- Title
A New Method for Generating Traveling-Wave Solutions of Coupled Nonlinear Equations.
- Authors
Yin, J.; Ding, S.; Tian, L.; Fan, X.
- Abstract
We propose a new method of algebraic transformations aimed at finding the traveling-wave solutions of complicated nonlinear wave equations on the basis of simpler equations. The generalized Dullin-Gottwald-Holm (DGH) equation and mKdV equations are chosen to illustrate our method. The solutions of the DGH equation can be obtained directly from the solutions of the mKdV equation. The conditions of appearance of different solutions are also presented. Various types of traveling-wave solutions are obtained for the generalized DGH equation, including periodic solutions, smooth solutions with decay, solitary solutions, and kink solutions.
- Subjects
WAVE analysis; NONLINEAR equations; MATHEMATICAL transformations; NONLINEAR waves; GENERALIZATION; EQUATIONS
- Publication
Ukrainian Mathematical Journal, 2013, Vol 64, Issue 10, p1553
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-013-0734-5