Invariance analysis, exact solutions and conservation laws of (2+1)-dimensional dispersive long wave equations

2020 ◽  
Vol 95 (5) ◽  
pp. 055207 ◽  
Author(s):  
Kajal Sharma ◽  
Rajan Arora ◽  
Astha Chauhan
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Wave Equations ◽  
Long Wave

Symmetry Reduction, Exact Solutions, and Conservation Laws of the (2+1)-Dimensional Dispersive Long Wave Equations

2009 ◽  
Vol 64 (9-10) ◽  
pp. 597-603 ◽  
Author(s):  
Zhong Zhou Dong ◽  
Yong Chen
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Symmetry Group ◽  
Infinite Number ◽  
Wave Equations ◽  
Direct Method ◽  
Discrete Groups ◽  
Point Symmetry Group ◽  
Long Wave ◽  
Full Symmetry

By means of the generalized direct method, we investigate the (2+1)-dimensional dispersive long wave equations. A relationship is constructed between the new solutions and the old ones and we obtain the full symmetry group of the (2+1)-dimensional dispersive long wave equations, which includes the Lie point symmetry group S and the discrete groups D. Some new forms of solutions are obtained by selecting the form of the arbitrary functions, based on their relationship. We also find an infinite number of conservation laws of the (2+1)-dimensional dispersive long wave equations.

Exact solutions and conservation laws for coupled generalized Korteweg–de Vries and quintic regularized long wave equations

2005 ◽  
Vol 63 (5-7) ◽  
pp. e1425-e1434 ◽  
Author(s):  
S. Hamdi ◽  
W.H. Enright ◽  
W. E Schiesser ◽  
J.J. Gottlieb
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Wave Equations ◽  
Long Wave ◽  
De Vries

New Exact Solutions to (2+1)-Dimensional Dispersive Long Wave Equations

2004 ◽  
Vol 42 (6) ◽  
pp. 811-813 ◽  
Author(s):  
Zhi Hong-Yan ◽  
Lü Zhuo-Sheng ◽  
Zhang Hong-Qing
Keyword(s):  
Exact Solutions ◽  
Wave Equations ◽  
New Exact Solutions ◽  
Long Wave

Exact solutions and invariants of motion for general types of regularized long wave equations

2004 ◽  
Vol 65 (4-5) ◽  
pp. 535-545 ◽  
Author(s):  
S. Hamdi ◽  
W.H. Enright ◽  
W.E Schiesser ◽  
J.J. Gottlieb
Keyword(s):  
Exact Solutions ◽  
Wave Equations ◽  
Long Wave ◽  
Invariants Of Motion
Sign in / Sign up

Export Citation Format

Share Document