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- Title
Multiple periodic-soliton solutions of the (3+1)-dimensional generalised shallow water equation.
- Authors
Li, Ye-Zhou; Liu, Jian-Guo
- Abstract
Based on the extended variable-coefficient homogeneous balance method and two new ansätz functions, we construct auto-Bäcklund transformation and multiple periodic-soliton solutions of (3+1)<inline-graphic></inline-graphic>-dimensional generalised shallow water equations. Completely new periodic-soliton solutions including periodic cross-kink wave, periodic two-solitary wave and breather type of two-solitary wave are obtained. In addition, cross-kink three-soliton and cross-kink four-soliton solutions are derived. Furthermore, propagation characteristics and interactions of the obtained solutions are discussed and illustrated in figures.
- Subjects
NONLINEAR partial differential operators; PARTIAL differential equations; SHALLOW-water equations; SOLITON collisions; BACKLUND transformations
- Publication
Pramana: Journal of Physics, 2018, Vol 90, Issue 6, p1
- ISSN
0304-4289
- Publication type
Article
- DOI
10.1007/s12043-018-1568-3