文献类型：期刊文献

英文题名：Multi-Soliton, Soliton-Cnoidal, and Lump Wave Solutions for the Supersymmetric Boussinesq Equation

作者：Wei, Peng-Fei[1];Zhang, Hao-Bo[1];Liu, Ye[1];Lin, Si-Yu[1];Chen, Rui-Yu[1];Xu, Zi-Yi[1];Wang, Wan-Li[2];Ren, Bo[2]

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

年份：2024

卷号：12

期号：13

外文期刊名：MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:001269678200001)、、Scopus(收录号：2-s2.0-85198409416)、WOS

基金：This research was funded by the National Natural Science Foundation of China under Grant Nos. 12375006, 12105243, and KYY-ZX-20230624, and by the Natural Science Foundation of Zhejiang Province of China under Grant No. LQ22A050002.

语种：英文

外文关键词：supersymmetric Boussinesq equation; bosonization approach; Lie point symmetry theory; mapping and deformation method; consistent tanh expansion method

外文摘要：Based on the bosonization approach, the supersymmetric Boussinesq equation is converted into a coupled bosonic system. The symmetry group and the commutation relations of the corresponding bosonic system are determined through the Lie point symmetry theory. The group invariant solutions of the coupled bosonic system are analyzed by the symmetry reduction technique. Special traveling wave solutions are generated by using the mapping and deformation method. Some novel solutions, such as multi-soliton, soliton-cnoidal interaction solutions, and lump waves, are given by utilizing the Hirota bilinear and the consistent tanh expansion methods. The methods in this paper can be effectively expanded to study rich localized waves for other supersymmetric systems.