Journal
APPLIED MATHEMATICS LETTERS
Volume 104, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.106170
Keywords
Solar system; Water waves; Symbolic computation; The higher-order Boussinesq-Burgers system; Auto- and non-auto-Backlund transformations; Solitons
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Funding
- National Natural Science Foundation of China [11871116, 11772017]
- Fundamental Research Funds for the Central Universities of China [2019XD-A1 1]
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In the Solar System, water and water waves are commonly seen: For the Earth, water is at the core of sustainable development and at the heart of adaptation to climate change; For the Enceladus, Cassini spacecraft discovers a possible global ocean of liquid water beneath an icy crust; For the Titan, Cassini spacecraft suggests an icy shell floating atop a global ocean. Shallow water waves near the ocean beaches or in the lakes can be described by the Boussinesq-Burgers-type equations. In this Letter, on the higher-order Boussinesq-Burgers system, symbolic computation helps us to go from the two-dimensional Bell polynomials to construct two non-auto-Backlund transformations and to proceed from the Painleve-Backlund format to obtain four auto-Backlund transformations with some soliton solutions. All of our results are shown to be dependent on the constant coefficient in the system. (C) 2019 Elsevier Ltd. All rights reserved.
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