文献类型：期刊文献

英文题名：Bosonization, symmetry reductions, mapping and deformation method for B-extension of Sawada-Kotera equation

作者：Wei, Peng-Fei[1];Liu, Ye[1];Zhan, Xin-Ru[1];Zhou, Jia-Li[2];Ren, Bo[2]

机构：[1]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China;[2]Zhejiang Univ Technol, Dept Math, Hangzhou 310014, Peoples R China

年份：2023

卷号：54

外文期刊名：RESULTS IN PHYSICS

收录：SCI-EXPANDED(收录号：WOS:001112135100001)、、Scopus(收录号：2-s2.0-85175525145)、WOS

基金：This work is supported by the National Natural Science Foundation of China Grant No. 12375006, and the "Pioneer"and "Leading Goose"R and D Program of Zhejiang Province, Grant Nos. 2022C01178, 2022C01193 and 2023C01125.

语种：英文

外文关键词：B-extension of Sawada-Kotera equation; Bosonization approach; Lie point symmetry theory; Symmetry reduction; Mapping and deformation method

外文摘要：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.