On Lie symmetries, optimal systems and explicit solutions to the Kudryashov–Sinelshchikov equation

Jian-Min Tu, Shou-Fu Tian, Mei-Juan Xu and Tian-Tian Zhang

Applied Mathematics and Computation, 2016, vol. 275, issue C, 345-352

Abstract: Under investigation in this paper is the Kudryashov–Sinelshchikov equation, which describes influence of viscosity and heat transfer on propagation of the pressure waves. The Lie symmetry method is used to study its vector fields and optimal systems, respectively. Furthermore, the symmetry reductions and exact solutions of the equation are obtained on the basic of the optimal systems. Finally, based on the power series theory, a kind of explicit power series solutions for the equation is well constructed with a detailed derivation.

Keywords: Kudryashov–Sinelshchikov equation; Lie symmetry analysis; Power series method; Similarity reduction; Exact solutions (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:275:y:2016:i:c:p:345-352

DOI: 10.1016/j.amc.2015.11.072

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