Invariant analysis with conservation laws for the time fractional Drinfeld–Sokolov–Satsuma–Hirota equations. (November 2017)

• Record Type: Journal Article
• Authors: Sahoo, S.; Ray, S. Saha
• Is Part Of: Chaos, solitons and fractals. Volume 104(2017)
• Page Start: 725
• Page End: 733
• Publication Date: 2017-11
• Subjects: Time fractional coupled Drinfeld–Sokolov–Satsuma–Hirota equations -- Lie symmetry analysis -- Erdélyi–Kober operator -- New conservation laws; 26A33 -- 34A08 -- 76M60; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.09.031
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: Similarity reduction and analysis of conservation law. For the time fractional coupled DSSH equations. Reduction of fractional coupled differential equations (FCDEs). Conservation analysis has been presented by using new conservation theorem. New conserved vectors have been obtained. Abstract: In this paper, the invariance properties of time fractional coupled Drinfeld–Sokolov–Satsuma–Hirota (DSSH) equations have been investigated using the Lie group analysis method. In this regard a systematic research to derive Lie point symmetries of time fractional coupled DSSH equations is performed. Using the Lie group analysis method, the vector fields and the symmetry reduction of the time fractional coupled DSSH equations are obtained. It is shown that, the time fractional coupled DSSH equations can be reduced to the fractional coupled ordinary differential equations by using fractional Erdélyi–Kober differential operator with Riemann–Liouville derivative. Finally using new conservation theorem with formal Lagrangian, the new conserved vectors are well constructed with a detailed derivation, which present the conservation analysis for time fractional coupled Drinfeld–Sokolov–Satsuma–Hirota (DSSH) equations.