Applying the classical Lie symmetry method to the （29-1）-dimensional resonant Davey-Stewartson system introduced by Tang IX. Y. Tang et al., Chaos, Solitons and Practals 42 （2007） 2707], a more general infinite di...Applying the classical Lie symmetry method to the （29-1）-dimensional resonant Davey-Stewartson system introduced by Tang IX. Y. Tang et al., Chaos, Solitons and Practals 42 （2007） 2707], a more general infinite dimensional Lie symmetry with Kac-Moody-Virasoro type Lie algebra is obtained, which involves four arbitrary functions of t. Alternatively, by a simple direct method, the full symmetry groups including Lie symmetry group and non-Lie symmetry group are gained straightly. In this way, the related Lie algebra can be easily found by a more simple limiting procedure. Lastly, via solving the characteristic equations, three types of the general similar reductions are derived.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos.10735030 and 11075055Shanghai Leading Academic Discipline Project under Grant No.B412Program for Changjiang Scholars and Innovative Research Team in University(IRT0734)
文摘Applying the classical Lie symmetry method to the （29-1）-dimensional resonant Davey-Stewartson system introduced by Tang IX. Y. Tang et al., Chaos, Solitons and Practals 42 （2007） 2707], a more general infinite dimensional Lie symmetry with Kac-Moody-Virasoro type Lie algebra is obtained, which involves four arbitrary functions of t. Alternatively, by a simple direct method, the full symmetry groups including Lie symmetry group and non-Lie symmetry group are gained straightly. In this way, the related Lie algebra can be easily found by a more simple limiting procedure. Lastly, via solving the characteristic equations, three types of the general similar reductions are derived.
