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Publication Type : Journal Article
Publisher : Comp. Appl. Math.
Source : Comp. Appl. Math. 40, 162 (2021).
Campus : Coimbatore
School : School of Engineering
Department : Mathematics
Year : 2021
Abstract : In this paper, a systematic study for finding the symmetry group classification is performed for the time-fractional Kudryashov–Sinelshchikov equation, which describes the pressure waves in liquid with gas bubbles. Using Lie symmetries, the vector fields, and invariance properties of the underlying equation with various cases are presented and then similarity reductions are obtained. Furthermore, using the new conservation theorem, conservation laws are constructed for all possible cases. Finally, based on the invariant subspace method, a variety of exact solutions are derived using the obtained invariant subspaces, including the trigonometric, exponential, and polynomial type of solutions.
Cite this Research Publication : Prakash, P. On group analysis, conservation laws and exact solutions of time-fractional Kudryashov–Sinelshchikov equation. Comp. Appl. Math. 40, 162 (2021). https://doi.org/10.1007/s40314-021-01550-2