2024
DOI: 10.1088/1402-4896/ad2efb
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Multiple localized waves to the (2+1)-dimensional shallow water waveequation on non-flat constant backgrounds and their applications

Yulei Cao,
Hao Tian,
Behzad Ghanbari
et al.

Abstract: In this paper, a new general bilinear Backlund transformation and Lax pair for the (2+1)-dimensional shallow water wave equation are given in terms of the binary Bell polynomials. Based on this transformation along with introducing an arbitrary function, the multi-kink soliton, line breather, and multi-line rogue wave solutions on a non-flat constant background plane are derived. Further, we found
that the dynamic pattern of line breather on the background of periodic line waves are similar to the two-… Show more

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