Symmetry Reductions and Exact Solutions to the Kudryashov–Sinelshchikov Equation

In this article, based on the compatibility method, some nonclassical symmetries of Kudryashov–Sinelshchikov equation are derived. By solving the corresponding characteristic equations associated with symmetry equations, some new exact explicit solutions of Kudryashov–Sinelshchikov equation are obta...

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Veröffentlicht in:	Zeitschrift für Naturforschung. A, A journal of physical sciences A journal of physical sciences, 2016-11, Vol.71 (11), p.1059-1065
1. Verfasser:	Yang, Huizhang
Format:	Artikel
Sprache:	eng
Schlagworte:	34C37 35G05 37G10 37L20 Compatibility Method Exact Solutions Integral Bifurcation Method Kudryashov–Sinelshchikov Equation Symmetry Reductions
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creator	Yang, Huizhang
description	In this article, based on the compatibility method, some nonclassical symmetries of Kudryashov–Sinelshchikov equation are derived. By solving the corresponding characteristic equations associated with symmetry equations, some new exact explicit solutions of Kudryashov–Sinelshchikov equation are obtained. For the exact explicit traveling wave solutions, the exact parametric representations are investigated by the integral bifurcation method.
doi_str_mv	10.1515/zna-2016-0212
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subjects	34C37 35G05 37G10 37L20 Compatibility Method Exact Solutions Integral Bifurcation Method Kudryashov–Sinelshchikov Equation Symmetry Reductions
title	Symmetry Reductions and Exact Solutions to the Kudryashov–Sinelshchikov Equation
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