Dynamics and Exact Solutions of (1 + 1)-Dimensional Generalized Boussinesq Equation with Time-Space Dispersion Term  

作　　者：Dahe Feng Jibin Li Jianjun Jiao Dahe Feng;Jibin Li;Jianjun Jiao(School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, China;School of Mathematical Sciences, Huaqiao University, Quanzhou, China)

机构地区：[1]School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, China [2]School of Mathematical Sciences, Huaqiao University, Quanzhou, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第8期2723-2737,共15页应用数学与应用物理（英文）

摘　　要：We study exact solutions to (1 + 1)-dimensional generalized Boussinesq equation with time-space dispersion term by making use of improved sub-equation method, and analyse the dynamical behavior and exact solutions of the sub-equation after constructing the nonlinear transformation and constraint conditions. Accordingly, we obtain twenty families of exact solutions such as analytical and singular solitons and singular periodic waves. In addition, we discuss the impact of system parameters on wave propagation.We study exact solutions to (1 + 1)-dimensional generalized Boussinesq equation with time-space dispersion term by making use of improved sub-equation method, and analyse the dynamical behavior and exact solutions of the sub-equation after constructing the nonlinear transformation and constraint conditions. Accordingly, we obtain twenty families of exact solutions such as analytical and singular solitons and singular periodic waves. In addition, we discuss the impact of system parameters on wave propagation.

关 键 词：Generalized Boussinesq Equation Improved Sub-Equation Method BIFURCATION Soliton Solution Periodic Solution 

分 类 号：O17[理学—数学]