Journal
APPLIED MATHEMATICS LETTERS
Volume 122, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107301
Keywords
Shallow water waves; (3+1)-dimensional generalized nonlinear evolution equation; Hirota method; Symbolic computation; Bilinear auto-Backlund transformation; Soliton solution
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Funding
- National Natural Science Foundation of China [11772017, 11272023, 11471050]
- Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications) , China [IPOC: 2017ZZ05]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
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Researchers investigated water waves and proposed a nonlinear evolution equation, along with soliton solutions. The results depend on the water-wave coefficients in the equation.
Waves are seen in the atmosphere, oceans, etc. As one of the most common natural phenomena, water waves attract the attention of researchers. For the shallow water waves, a (3+1)-dimensional generalized nonlinear evolution equation is hereby investigated via the symbolic computation. Based on the Hirota method, we present three bilinear auto-Backlund transformations, along with some soliton solutions. Our results depend on the water-wave coefficients in that equation. (C) 2021 Elsevier Ltd. All rights reserved.
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