Classical Lie symmetries and similarity reductions of the (2

被引:2
作者
Devi, Preeti [1 ]
Singh, K. [1 ]
机构
[1] Jaypee Univ Informat Technol, Dept Math, Solan 173234, Himachal Prades, India
关键词
Lie symmetry; Kac-Moody-Virasoro type algebra; (2 + 1) dimensional dispersive long wave system; LONG-WAVE EQUATIONS; TANH;
D O I
10.1142/S1793557121500522
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present work, classical Lie symmetry method is adopted to obtain the Lie symmetries and similarity reductions of the (2 + 1)-dimensional dispersive long wave equation. We also demonstrate that the symmetry algebra of this equation is an infinte dimensional, together with Kac-Moody-Virasoro type subalgebras.
引用
收藏
页数:17
相关论文
共 37 条
[1]  
Bluman G., 2002, Applied Mathematical Sciences, V154
[2]  
Bluman G. W., 1974, SIMILARITY METHODS D
[3]   INTEGRABLE TWO-DIMENSIONAL GENERALIZATION OF THE SINE-GORDON EQUATION AND SINH-GORDON EQUATION [J].
BOITI, M ;
LEON, JJP ;
PEMPINELLI, F .
INVERSE PROBLEMS, 1987, 3 (01) :37-49
[4]   Symmetry reduction and exact solutions of the generalized Nizhnik-Novikov-Veselov equation [J].
Chen, Yong ;
Dong, ZhongZhou .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E810-E817
[5]   ALGORITHMS FOR THE NONCLASSICAL METHOD OF SYMMETRY REDUCTIONS [J].
CLARKSON, PA ;
MANSFIELD, EL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1994, 54 (06) :1693-1719
[6]   NEW SIMILARITY REDUCTIONS OF THE BOUSSINESQ EQUATION [J].
CLARKSON, PA ;
KRUSKAL, MD .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (10) :2201-2213
[7]  
David D., 1985, J MATH PHYS
[8]  
Eslami M, 2012, J KING SAUD UNIV SCI, V24, P69, DOI DOI 10.1016/j.jksus.2010.08.003
[9]   The tanh function method for solving some important non-linear partial differential equations [J].
Evans, DJ ;
Raslan, KR .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (07) :897-905
[10]   New periodic solutions for nonlinear evolution equations using Exp-function method [J].
He, Ji-Huan ;
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 34 (05) :1421-1429