Families of exact solutions of a new extended $$\varvec{(2+1)}$$(2+1)-dimensional Boussinesq equation

2018 ◽  
Vol 91 (4) ◽  
pp. 2593-2605 ◽  
Author(s):  
Yulei Cao ◽  
Jingsong He ◽  
Dumitru Mihalache
2012 ◽  
Author(s):  
M. A. Jafarizadeh ◽  
A. R. Esfandyari

Symmetry ◽  
2020 ◽  
Vol 12 (1) ◽  
pp. 97 ◽  
Author(s):  
Ben Gao ◽  
Yao Zhang

In this paper, Lie symmetry analysis is presented for the (3 + 1)-dimensional BKP-Boussinesq equation, which seriously affects the dispersion relation and the phase shift. To start with, we derive the Lie point symmetry and construct the optimal system of one-dimensional subalgebras. Moreover, according to the optimal system, similarity reductions are investigated and we obtain exact solutions of reduced equations by means of the Tanh method. In the end, we establish conservation laws using Ibragimov’s approach.


Sign in / Sign up

Export Citation Format

Share Document