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Lie point symmetries, conservation laws, and analytical solutions of a generalized time-fractional Sawada–Kotera equation

Zou, L and Yu, ZB and Tian, SF and Wang, XB and Li, J (2019) Lie point symmetries, conservation laws, and analytical solutions of a generalized time-fractional Sawada–Kotera equation. Waves in Random and Complex Media, 29. pp. 509-522. ISSN 1745-5030

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Abstract

Under investigation in this work is the invariance properties of the time-fractional generalized Sawada–Kotera equation, which can describe motion of long waves in shallow water under gravity and in a one-dimensional nonlinear lattice. With the help of the Lie symmetry analysis method of fractional differential equations, we strictly derive the vector fields and symmetry reductions of the equation. Furthermore, based on the power series theory, an effective method is presented to succinctly construct its analytical solutions. Finally, using the new conservation theorem, the conservation laws of the equation are well constructed with a detailed derivation.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: UNSPECIFIED
Depositing User: Cron Job
Date Deposited: 18 Jul 2019 01:18
Last Modified: 10 Apr 2021 22:21
DOI: 10.1080/17455030.2018.1451666