On explicit exact solutions and conservation laws for time fractional variable - coefficient coupled Burger’s equations

• Published in: Communications in nonlinear science & numerical simulation Vol. 83; p. 105108
• Main Authors: Kaur, Jaskiran, Gupta, Rajesh Kumar, Kumar, Sachin
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.04.2020; Elsevier Science Ltd
• Subjects: Coefficients; Conservation laws; Differential equations; Erdélyi–Kober operators; Exact solutions; Fractions; Mathematical analysis; Nonlinear equations; Operators (mathematics); Riemann–Liouville fractional derivative; Studies; Symmetry analysis; Variable-coefficient coupled Burger’s equations; Variables; Conservation laws; Variable-coefficient coupled Burger’s equations; Riemann–Liouville fractional derivative; 26A33; 70S10; Erdélyi–Kober operators; 35R11; 76M60; Symmetry analysis; 34A08
• ISSN: 1007-5704; 1878-7274
• DOI: 10.1016/j.cnsns.2019.105108

•Time fractional variable-coefficient coupled Burger’s equations for admissible form of variable coefficients under the condition of invariance is investigated.•The reduced form of systems is obtained by using symmetries.•the exact solutions of the reduced systems are obtained.•Using generalized Noether’s theorem, conservation laws are derived. In this paper, we investigate time fractional variable-coefficient coupled Burger’s equations for admissible form of variable coefficients under the condition of invariance. The reduced form of systems is obtained by using symmetries and Erdélyi–Kober fractional differential operators. Then the exact solutions of the reduced systems are obtained. Besides this, using generalized Noether’s theorem, conservation laws are derived for corresponding fractional system.