TY - JOUR
T1 - Symmetry and exact solutions of (2+1)-dimensional generalized sasa-satsuma equation via a modified direct method
AU - Lü, Chang Cheng
AU - Chen, Yong
PY - 2009
Y1 - 2009
N2 - In this paper, first, we employ classic Lie symmetry groups approach to obtain the Lie symmetry groups of the well-known (2+1)-dimensional Generalized Sasa-Satsuma (GSS) equation. Second, based on a modified direct method proposed by Lou [J. Phys. A: Math. Gen. 38 (2005) L129], more general symmetry groups are obtained and the relationship between the new solution and known solution is set up. At the same time, the Lie symmetry groups obtained are only special cases of the more general symmetry groups. At last, some exact solutions of GSS equations are constructed by the relationship obtained in the paper between the new solution and known solution.
AB - In this paper, first, we employ classic Lie symmetry groups approach to obtain the Lie symmetry groups of the well-known (2+1)-dimensional Generalized Sasa-Satsuma (GSS) equation. Second, based on a modified direct method proposed by Lou [J. Phys. A: Math. Gen. 38 (2005) L129], more general symmetry groups are obtained and the relationship between the new solution and known solution is set up. At the same time, the Lie symmetry groups obtained are only special cases of the more general symmetry groups. At last, some exact solutions of GSS equations are constructed by the relationship obtained in the paper between the new solution and known solution.
KW - Classic Lie symmetry groups approach
KW - Generalized Sasa Satsuma equation
KW - Modified CK's direct method
UR - https://www.scopus.com/pages/publications/70350221633
U2 - 10.1088/0253-6102/51/6/03
DO - 10.1088/0253-6102/51/6/03
M3 - 文章
AN - SCOPUS:70350221633
SN - 0253-6102
VL - 51
SP - 973
EP - 978
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 6
ER -