Invariant analysis and conservation laws for the time fractional (2+1)-dimensional Zakharov–Kuznetsov modified equal width equation using Lie group analysis

2018 ◽  
Vol 76 (9) ◽  
pp. 2110-2118 ◽  
Author(s):  
S. Saha Ray
Keyword(s):  
Conservation Laws ◽  
Lie Group ◽  
Group Analysis ◽  
Lie Group Analysis ◽  
Invariant Analysis

Lie group analysis, Hamiltonian equations and conservation laws of Born–Infeld equation

2014 ◽  
Vol 07 (03) ◽  
pp. 1450040 ◽  
Author(s):  
Seyed Reza Hejazi
Keyword(s):  
Conservation Laws ◽  
Symmetry Group ◽  
Lie Group ◽  
Group Analysis ◽  
Similarity Solutions ◽  
Lie Symmetry ◽  
Group Method ◽  
Lie Group Analysis ◽  
Hamiltonian Equations

Lie symmetry group method is applied to study the Born–Infeld equation. The symmetry group is given, and similarity solutions associated to the symmetries are obtained. Finally the Hamiltonian equations including Hamiltonian symmetry group and conservation laws are determined.

scholarly journals Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Khadijo Rashid Adem ◽  
Chaudry Masood Khalique
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Solitary Waves ◽  
Lie Group ◽  
Group Analysis ◽  
Equation Method ◽  
Two Dimensional ◽  
Lie Group Analysis ◽  
Simplest Equation Method ◽  
Bbm Equation

In this paper, we study the two-dimensional nonlinear Kadomtsov-Petviashivilli-Benjamin-Bona-Mahony (KP-BBM) equation. This equation is the Benjamin-Bona-Mahony equation formulated in the KP sense. We first obtain exact solutions of this equation using the Lie group analysis and the simplest equation method. The solutions obtained are solitary waves. In addition, the conservation laws for the KP-BBM equation are constructed by using the multiplier method.

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