Space-Time Fractional KdV–Burger–Kuramato Equation with Time Dependent Variable Coefficients: Lie Symmetry, Explicit Power Series Solution, Convergence Analysis and Conservation Laws

被引：0
作者：
Yadav V. [1 ]
Gupta R.K. [1 ,2 ]
机构：
[1] Department of Mathematics, School of Basic Sciences, Central University of Haryana, Haryana, Mahendragarh
[2] Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Punjab, Bathinda
来源：
International Journal of Applied and Computational Mathematics | 2022年 / 8卷 / 2期
关键词：
Conservation laws; Erdélyi–Kober fractional differential operator; KdV–Burger–Kuramato equation; Power series solution; Riemann–Liouville fractional differential operator; Symmetry analysis;
D O I：
10.1007/s40819-021-01229-6
中图分类号：
学科分类号：
摘要：
In this paper, Lie symmetry reduction, power series solutions, convergence analysis and conservation laws have been examined for the space-time fractional KdV–Burger–Kuramato equation with time dependent variable coefficients. The obtained symmetries and the Erdélyi–Kober fractional differential operator have been used to reduce the original nonlinear partial differential equation into a nonlinear ordinary differential equation. The power series solutions are also derived for the equation under consideration. Further, the obtained power series solution are examined for the convergence. The generalized Noether method has been utilized to investigate the conservation laws of the equation. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
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