New exact solutions and conservation laws of the (2 + 1)-dimensional dispersive long wave equations

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 373, Issue 2, 2009, Pages 214-220

  Liu, Na ^a   Liu, Xiqiang ^a   Lü, Hailing ^a  

^a LIAOCHENG UNIVERSITY   (China)

Author keywords

Conservation laws; Dispersive long wave equations; Exact solutions; Lie point symmetry groups

Indexed keywords

DISPERSION (WAVES); PHYSICAL PROPERTIES; QUANTUM THEORY;

CONSERVATION LAW; DIRECT METHOD; DISPERSIVE LONG-WAVE EQUATIONS; EXACT SOLUTION; LIE POINT SYMMETRIES; LIE SYMMETRIES; NEW EXACT SOLUTIONS; SYMMETRY GROUPS;

WAVE EQUATIONS;

EID: 57549089842     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2008.11.007     Document Type: Article

References (11)

1. S. Steinberg, Symmetry methods in differential equation, Technical Report No. 367, University of New Mexico, 1979
2. Olver P.J. Application of Lie Groups to Differential Equation (1986), Springer, New York
3. Bluman G.W., and Anco S.C. Symmetry and Integration Methods for Differential Equations (2002), Springer, New York
4. Ma H.C. Chin. Phys. Lett. 22 (2005) 554
5. Lou S.Y. J. Phys. A: Math. Gen. 38 (2005) 129
6. Boiti M., Leon J.J.P., and Pempinelli F. Inverse Problems 3 (1987) 371
7. Paquin G., and Winternitz P. Physica D 46 (1990) 122
8. Lou S.Y. Phys. Lett. A 176 (1993) 96
9. Tang X.Y., and Lou S.Y. Chaos Solitons Fractals 14 (2002) 1451
10. Zhang J.F. Commun. Theor. Phys. 37 (2002) 277
11. Kara A.H., and Khalique C.M. Int. J. Non-linear Mech. 36 (2001) 1041