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- Title
Exact Solutions of Travelling Wave Model via Dynamical System Method.
- Authors
Wang, Heng; Chen, Longwei; Liu, Hongjiang
- Abstract
By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave solutions and periodic travelling wave solutions. The solitary wave solutions and periodic travelling wave solutions are expressed by the hyperbolic functions and the Jacobian elliptic functions, respectively. The results show that the presented findings improve the related previous conclusions. Furthermore, the numerical simulations of the solitary wave solutions and the periodic travelling wave solutions are given to show the correctness of our results.
- Subjects
THEORY of wave motion; DYNAMICAL systems; NONLINEAR Schrodinger equation; MATHEMATICAL bounds; SOLITONS; HYPERBOLIC functions; ELLIPTIC functions; COMPUTER simulation
- Publication
Abstract & Applied Analysis, 2016, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2016/9290734