Journal
COMMUNICATIONS IN THEORETICAL PHYSICS
Volume 72, Issue 9, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1572-9494/aba23d
Keywords
lakes and ocean beaches; shallow water waves; Boussinesq-Burgers system; symbolic computation; bilinear forms through the binary Bell polynomials; Backlund transformations; solitonic solutions
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Funding
- National Nature Science Foundation of China [11871116]
- Fundamental Research Funds for the Central Universities of China [2019XD-A11]
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Water waves are one of the most common phenomena in nature, the studies of which help energy development, marine/offshore engineering, hydraulic engineering, mechanical engineering, etc. Hereby, symbolic computation is performed on the Boussinesq-Burgers system for shallow water waves in a lake or near an ocean beach. For the water-wave horizontal velocity and height of the water surface above the bottom, two sets of the bilinear forms through the binary Bell polynomials andN-soliton solutions are worked out, while two auto-Backlund transformations are constructed together with the solitonic solutions, whereNis a positive integer. Our bilinear forms,N-soliton solutions and Backlund transformations are different from those in the existing literature. All of our results are dependent on the water-wave dispersive power.
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