Exact solutions and conservation laws of symmetric regularized long wave equations

Mei CHEN; Xi-qiang LIU; Meng WANG

doi:10.3969/j.issn.1007-5461. 2012.01.004

Journals >Chinese Journal of Quantum Electronics >Volume 29 >Issue 1 >Page 21 > Article

Chinese Journal of Quantum Electronics
Vol. 29, Issue 1, 21 (2012)

Exact solutions and conservation laws of symmetric regularized long wave equations

Mei CHEN^*, Xi-qiang LIU, and Meng WANG

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[in Chinese]

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DOI: 10.3969/j.issn.1007-5461. 2012.01.004 Cite this Article

CHEN Mei, LIU Xi-qiang, WANG Meng. Exact solutions and conservation laws of symmetric regularized long wave equations[J]. Chinese Journal of Quantum Electronics, 2012, 29(1): 21 Copy Citation Text

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Abstract

By using the modified direct reduction method presented by Clarkson and Kruskal, the symmetry group theorem of symmetric regularized long wave (SRLW) equations are derived. Some new exact solutions of SRLW equations are obtained by applying the theorem and given solutions. Conservation laws of the equations are also obtained with the corresponding Lie symmetry.

Keywords

conservation laws exact solutions modified CK’s direct reduction method nonlinear evolution equation

CHEN Mei, LIU Xi-qiang, WANG Meng. Exact solutions and conservation laws of symmetric regularized long wave equations[J]. Chinese Journal of Quantum Electronics, 2012, 29(1): 21

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