Symmetry reductions and explicit solutions of (2+1)-dimensional nonlinear evolution equation

Ying-yuan ZHANG; Xi-qiang LIU; Gang-wei WANG

doi:10.3969/j.issn.1007-5461. 2012.04.005

Journals >Chinese Journal of Quantum Electronics >Volume 29 >Issue 4 >Page 411 > Article

Chinese Journal of Quantum Electronics
Vol. 29, Issue 4, 411 (2012)

Symmetry reductions and explicit solutions of (2+1)-dimensional nonlinear evolution equation

Ying-yuan ZHANG^*, Xi-qiang LIU, and Gang-wei WANG

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[in Chinese]

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DOI: 10.3969/j.issn.1007-5461. 2012.04.005 Cite this Article

ZHANG Ying-yuan, LIU Xi-qiang, WANG Gang-wei. Symmetry reductions and explicit solutions of (2+1)-dimensional nonlinear evolution equation[J]. Chinese Journal of Quantum Electronics, 2012, 29(4): 411 Copy Citation Text

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Abstract

Using the compatibility method, symmetry of the nonlinear evolution equation was obtained. By solving the corresponding characteristic equations associated with symmetry equations, symmetry reductions of the (2+1)-dimensional nonlinear evolution equation were given first, then some special type of new explicit solutions were presented.

Keywords

(2+1)-dimensional nonlinear evolution equation explicit solutions symmetry reduction

ZHANG Ying-yuan, LIU Xi-qiang, WANG Gang-wei. Symmetry reductions and explicit solutions of (2+1)-dimensional nonlinear evolution equation[J]. Chinese Journal of Quantum Electronics, 2012, 29(4): 411

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