Optimal system, symmetry reductions and group–invariant solutions of (2+1)–dimensional ZK–BBM equation

2021 ◽  
Author(s):  
Dig Vijay Tanwar
Keyword(s):  
Optimal System ◽  
Invariant Solutions ◽  
Group Invariant ◽  
Symmetry Reductions ◽  
Group Invariant Solutions ◽  
Bbm Equation

Group invariant solutions of (2+1)-dimensional rdDym equation using optimal system of Lie subalgebra

2019 ◽  
Vol 94 (11) ◽  
pp. 115202 ◽  
Author(s):  
Sachin Kumar ◽  
Abdul-Majid Wazwaz ◽  
Dharmendra Kumar ◽  
Amit Kumar
Keyword(s):  
Optimal System ◽  
Invariant Solutions ◽  
Group Invariant ◽  
Group Invariant Solutions

scholarly journals On optimal system, exact solutions and conservation laws of the modified equal-width equation

2018 ◽  
Vol 3 (2) ◽  
pp. 409-418 ◽  
Author(s):  
Chaudry Masood Khalique ◽  
Oke Davies Adeyemo ◽  
Innocent Simbanefayi
Keyword(s):  
Wave Propagation ◽  
Conservation Laws ◽  
Optimal System ◽  
Lie Point Symmetries ◽  
Invariant Solutions ◽  
Nonlinear Media ◽  
One Dimensional ◽  
Group Invariant ◽  
Group Invariant Solutions ◽  
Dimensional Wave

AbstractIn this paper we study the modified equal-width equation, which is used in handling simulation of a single dimensional wave propagation in nonlinear media with dispersion processes. Lie point symmetries of this equation are computed and used to construct an optimal system of one-dimensional subalgebras. Thereafter using an optimal system of one-dimensional subalgebras, symmetry reductions and new group-invariant solutions are presented. The solutions obtained are cnoidal and snoidal waves. Furthermore, conservation laws for the modified equal-width equation are derived by employing two different methods, the multiplier method and Noether approach.

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