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Lie symmetries analysis and conservation laws for the fractional Calogero–Degasperis–Ibragimov–Shabat equation

S. Sahoo

Kalinga Institute of Industrial Technology, Department of Mathematics, Bhubaneswar-751024, Odisha, India

E-mail Address: subha.bapi25@gmail.com

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and

S. Saha Ray

http://orcid.org/0000-0002-2064-7050

National Institute of Technology, Department of Mathematics, Rourkela 769008, India

E-mail Address: santanusaharay@yahoo.com

Corresponding author.

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https://doi.org/10.1142/S0219887818501104Cited by:13 (Source: Crossref)

Abstract

The present paper includes the study of symmetry analysis and conservation laws of the time-fractional Calogero–Degasperis–Ibragimov–Shabat (CDIS) equation. The Erdélyi–Kober fractional differential operator has been used here for reduction of time fractional CDIS equation into fractional ordinary differential equation. Also, the new conservation theorem has been used for the analysis of the conservation laws. Furthermore, the new conserved vectors have been constructed for time fractional CDIS equation by means of the new conservation theorem with formal Lagrangian.

Keywords:

AMSC: 26A33, 34A08, 76M60

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