Qualitative analysis and bounded traveling wave solutions for Boussinesq equation with dissipative term

2021 ◽  
Author(s):  
Yanan Hu ◽  
Weiguo Zhang ◽  
Xingqian Ling
Keyword(s):  
Qualitative Analysis ◽  
Traveling Wave ◽  
Boussinesq Equation ◽  
Traveling Wave Solutions ◽  
Dissipative Term ◽  
Wave Solutions

Exact Cuspon and Compactons of the Novikov Equation

2014 ◽  
Vol 24 (03) ◽  
pp. 1450037 ◽  
Author(s):  
Jibin Li
Keyword(s):  
Dynamical Systems ◽  
Qualitative Analysis ◽  
Traveling Wave ◽  
Wave Solution ◽  
Traveling Wave Solutions ◽  
Phase Portraits ◽  
Breaking Wave ◽  
Wave Solutions ◽  
Novikov Equation

In this paper, we apply the method of dynamical systems to the traveling wave solutions of the Novikov equation. Through qualitative analysis, we obtain bifurcations of phase portraits of the traveling system and exact cuspon wave solution, as well as a family of breaking wave solutions (compactons). We find that the corresponding traveling system of Novikov equation has no one-peakon solution.

scholarly journals LS method and qualitative analysis of traveling wave solutions of Fisher equation

2010 ◽  
Vol 59 (2) ◽  
pp. 744
Author(s):  
Li Xiang-Zheng ◽  
Zhang Wei-Guo ◽  
Yuan San-Ling
Keyword(s):  
Qualitative Analysis ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Fisher Equation ◽  
Wave Solutions

Some Traveling Wave Solutions for the Boussinesq Equation

2011 ◽  
Vol 403-408 ◽  
pp. 196-201
Author(s):  
Qing Hua Feng ◽  
Chuan Bao Wen
Keyword(s):  
Exact Solutions ◽  
Traveling Wave ◽  
Boussinesq Equation ◽  
Traveling Wave Solutions ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions ◽  
Ode Method

In this paper, a generalized sub-ODE method is pro-posed to construct exact solutions of Boussinesq equation. As a result, some new exact traveling wave solutions are found.

Data Processing in Abound Solutions of (2 + 1)-dimensional Boussinesq Equation

2014 ◽  
Vol 1056 ◽  
pp. 215-220
Author(s):  
Han Kun Gong ◽  
Xiao Shan Zhao ◽  
Guan Hua Zhao
Keyword(s):  
Data Processing ◽  
Exact Solutions ◽  
Periodic Solutions ◽  
Symbolic Computation ◽  
Traveling Wave ◽  
Function Method ◽  
Boussinesq Equation ◽  
Traveling Wave Solutions ◽  
Wave Solutions ◽  
Solitary Solutions

In this paper, the repeated exp-function method is applied to construct exact traveling wave solutions of the (2+1)-dimensional Boussinesq equation. With aid of symbolic computation, many generalized solitary solutions, periodic solutions and other exact solutions are successfully obtained. Thus, it is proved that the method is straightforward and effective to solve the nonlinear evolutions equations.

Sign in / Sign up

Export Citation Format

Share Document