Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation

► Lie classical method is applied to find exact solutions of a new fifth-order nonlinear integrable equation.► Exact analytic solutions are obtained by means of the power series method. ► We also give the conservation laws. In this paper, by applying Lie symmetry method, we get the corresponding Lie...

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Veröffentlicht in:	Communications in nonlinear science & numerical simulation 2013-09, Vol.18 (9), p.2313-2320
Hauptverfasser:	Wang, Gang-wei, Liu, Xi-qiang, Zhang, Ying-yuan
Format:	Artikel
Sprache:	eng
Schlagworte:	A new fifth-order nonlinear equation Conservation laws Exact solutions Lie point symmetry groups Mathematical analysis Mathematical models Nonlinearity Power series method Reduction Similarity Similarity reductions Symmetry
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Zusammenfassung:	► Lie classical method is applied to find exact solutions of a new fifth-order nonlinear integrable equation.► Exact analytic solutions are obtained by means of the power series method. ► We also give the conservation laws. In this paper, by applying Lie symmetry method, we get the corresponding Lie algebra and similarity reductions of a new fifth-order nonlinear integrable equation. At the same time, the explicit and exact analytic solutions are obtained by means of the power series method. At last, we also give the conservation laws.
ISSN:	1007-5704 1878-7274
DOI:	10.1016/j.cnsns.2012.12.003