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Multiple periodic-soliton solutions of the (3 + 1)-dimensional generalised shallow water equation
Research Article Volume 90 Issue 6 June 2018 Article ID 0071
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https://www.ias.ac.in/article/fulltext/pram/090/06/0071 -
Keywords
Interactions ;periodic-soliton solutions ;(3 + 1)-dimensional generalised shallow water equation -
Abstract
Based on the extended variable-coefficient homogeneous balance method and two newansätz functions, we construct auto-Bäcklund transformation and multiple periodic-soliton solutions of (3+1)-dimensional generalised shallowwater equations.Completely newperiodic-soliton solutions including periodic cross-kinkwave, 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.
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Author Affiliations
- School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
- College of Computer, Jiangxi University of Traditional Chinese Medicine, Nanchang 330004, Jiangxi, China
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Dates
- Published
- 8 June 2018
- Manuscript received
- 8 November 2017
- Manuscript revised
- 9 December 2017
- Accepted
- 27 December 2017
- Early published
- Unedited version published online
- Final version published online
- 30 April 2018
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Pramana – Journal of Physics
Volume 97, 2023
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