Bifurcations, Analytical and Non-Analytical Traveling Wave Solutions of (2 + 1)-Dimensional Nonlinear Dispersive Boussinesq Equation
Bifurcations, Analytical and Non-Analytical Traveling Wave Solutions of (2 + 1)-Dimensional Nonlinear Dispersive Boussinesq Equation作者机构：School of Mathematics and Statistics Guizhou University of Finance and Economics Guiyang China School of Mathematical Sciences Huaqiao University Quanzhou China
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2024年第15卷第8期
页 面：543-567页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：(2 + 1)-Dimensional Nonlinear Dispersive Boussinesq Equation Bifurcations Phase Portrait Analytical Periodic Wave Solution Periodic Cusp Wave Solution
摘 要：For the (2 + 1)-dimensional nonlinear dispersive Boussinesq equation, by using the bifurcation theory of planar dynamical systems to study its corresponding traveling wave system, the bifurcations and phase portraits of the regular system are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of analytical and non-analytical solutions of the singular system are given by using singular traveling wave theory. For certain special cases, some explicit and exact parametric representations of traveling wave solutions are derived such as analytical periodic waves and non-analytical periodic cusp waves. Further, two-dimensional wave plots of analytical periodic solutions and non-analytical periodic cusp wave solutions are drawn to visualize the dynamics of the equation.
维普期刊数据库