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- Title
Smooth soliton and kink solutions for a new integrable soliton equation.
- Authors
Bai, Shuting; Zhaqilao
- Abstract
We establish a relationship between a new integrable soliton equation and Gardner's equation by a transformation. Then, we use this transformation and solutions of Gardner's equation to derive some exact solutions of the new integrable soliton equation. The obtained solutions include smooth soliton solution, kink solution and periodic wave solution. In particular, the hyperbolic type kink and the rational type kink waves are given.
- Subjects
SMOOTHNESS of functions; SOLITONS; INTEGRABLE functions; MATHEMATICAL transformations; HYPERBOLIC functions
- Publication
Nonlinear Dynamics, 2017, Vol 87, Issue 1, p377
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-016-3048-y