Symmetry, reduction and group invariant solution of (2+1)-dimensional Gardner equation

Bin XU; Xi-qiang LIU

Chinese Journal of Quantum Electronics, Volume. 26, Issue 5, 531(2009)

Bin XU and Xi-qiang LIU

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[in Chinese]

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By using the classical Lie group method, explicit solutions to the (2+1) dimensional Gardner equation are obtained, which generalize some corresponding results obtained by Tang and Chen, and symmetries, symmetry reductions and group invariant solutions to the equation are presented.

Keywords

Gardner equation group invariant solutions Lie group method nonlinear equation symmetries

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XU Bin, LIU Xi-qiang. Symmetry, reduction and group invariant solution of (2+1)-dimensional Gardner equation[J]. Chinese Journal of Quantum Electronics, 2009, 26(5): 531

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