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

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.

2009 ◽  
Vol 373 (2) ◽  
pp. 214-220 ◽  
Author(s):  
Na Liu ◽  
Xiqiang Liu ◽  
Hailing Lü

2005 ◽  
Vol 63 (5-7) ◽  
pp. e1425-e1434 ◽  
Author(s):  
S. Hamdi ◽  
W.H. Enright ◽  
W. E Schiesser ◽  
J.J. Gottlieb

2020 ◽  
Vol 95 (5) ◽  
pp. 055207 ◽  
Author(s):  
Kajal Sharma ◽  
Rajan Arora ◽  
Astha Chauhan

2009 ◽  
Vol 51 (5) ◽  
pp. 781-784 ◽  
Author(s):  
Tian Ying-Hui ◽  
Chen Han-Lin ◽  
Liu Xi-Qiang

2004 ◽  
Vol 42 (6) ◽  
pp. 811-813 ◽  
Author(s):  
Zhi Hong-Yan ◽  
Lü Zhuo-Sheng ◽  
Zhang Hong-Qing

2004 ◽  
Vol 65 (4-5) ◽  
pp. 535-545 ◽  
Author(s):  
S. Hamdi ◽  
W.H. Enright ◽  
W.E Schiesser ◽  
J.J. Gottlieb

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