Space time fractional Drinfel'd-Sokolov-Wilson system with time-dependent variable coefficients: Symmetry analysis, power series solutions and conservation laws

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dc.contributor.authorKour B.
dc.contributor.authorKumar S.
dc.date.accessioned2020-01-31T11:33:55Z
dc.date.accessioned2024-08-13T11:17:08Z
dc.date.available2020-01-31T11:33:55Z
dc.date.available2024-08-13T11:17:08Z
dc.date.issued2019
dc.description.abstractIn this work we aim to apply the Lie-symmetry method via the Riemann-Liouville fractional derivative based on continuous group of transformations to examine the symmetry reduction of space time fractional Drinfel'd-Sokolov-Wilson (DSW) system with time-dependent variable coefficients. The reduced Nonlinear fractional ordinary differential equations (NLFODEs) with variable coefficients are further studied for the exact solution by using the power series method. The exact solutions obtained in form of power series and their convergence show the accuracy and efficiency of the proposed method, which is simple and accurate in comparison to other methods to find the exact solution of nonlinear fractional partial differential equations (NLFPDEs). Also, the new conservation theorem and Noether's operators are used to construct conservation laws of the governing system.en_US
dc.identifier.doi10.1140/epjp/i2019-12986-1
dc.identifier.issn21905444
dc.identifier.urihttp://10.2.3.109/handle/32116/2515
dc.identifier.urlhttps://link.springer.com/article/10.1140/epjp/i2019-12986-1
dc.language.isoenen_US
dc.publisherSpringer Verlagen_US
dc.titleSpace time fractional Drinfel'd-Sokolov-Wilson system with time-dependent variable coefficients: Symmetry analysis, power series solutions and conservation lawsen_US
dc.title.journalEuropean Physical Journal Plusen_US
dc.typeArticleen_US
dc.type.accesstypeClosed Accessen_US

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