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

• DOI: 10.1016/j.rinp.2023.107132
• Publication Date: 2023-11-01T00:50:07Z
• Authors: Peng-Fei Wei; Ye Liu; Xin-Ru Zhan; Jia-Li Zhou; Bo Ren
• Keywords: Symmetry reduction; B-extension of Sawada–Kotera equation; Physics; QC1-999; 0103 physical sciences; Lie point symmetry theory; Mapping and deformation method; Bosonization approach

An extended (2+1)-dimensional shallow water wave (SWW) model governs the evolution of nonlinear propagation in two spatial and a temporal coordinate. The multi-linear variable separation approach is applied to SWW equation. solution consisting arbitrary functions given. By choosing as exponential trigonometric forms, some novel fission fusion phenomena including semifoldons, peakons, lump, dromions periodic waves are graphically analytically studied. results enhance variety dynamics fields related by engineering mathematical physics.