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Journals >Chinese Journal of Quantum Electronics >Volume 26 >Issue 5 >Page 531 > Article

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

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

Bin XU and Xi-qiang LIU

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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 Copy Citation Text

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Abstract

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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