Bosonization, symmetry reductions, mapping and deformation method for B-extension of Sawada–Kotera equation

Autor: Peng-Fei Wei, Ye Liu, Xin-Ru Zhan, Jia-Li Zhou, Bo Ren
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Results in Physics, Vol 54, Iss , Pp 107132- (2023)
Druh dokumentu: article
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2023.107132
Popis: An extended (2+1)-dimensional shallow water wave (SWW) model governs the evolution of nonlinear shallow water wave propagation in two spatial and a temporal coordinate. The multi-linear variable separation approach is applied to the SWW equation. The variable separation solution consisting of two arbitrary functions is given. By choosing the arbitrary functions as the exponential and trigonometric forms, some novel fission and fusion phenomena including the semifoldons, peakons, lump, dromions and periodic waves are graphically and analytically studied. The results enhance the variety of the dynamics of the nonlinear wave fields related by engineering and mathematical physics.
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