Year: 2023
Author: Jina Li, Gaizhu Qu, Jianlin Zhang, Xuehui Ji
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 3 : pp. 286–304
Abstract
In this research, invariant subspaces and exact solutions for the governing equation are obtained through the invariant subspace method, and the generalized second-order Kudryashov-Sinelshchikov equation is used to describe pressure waves in a liquid with bubbles. The governing equations are classified and transformed into a system of ordinary differential equations, and the exact solutions of the classified equation are obtained by solving the system of ordinary differential equations. The method gives logarithmic, polynomial, exponential, and trigonometric solutions for equations. The primary accomplishments of this work are displaying how to obtain the exact solutions of the classified equations and giving the stability analysis of reduced ordinary differential equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v36.n3.3
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 3 : pp. 286–304
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Invariant subspace method exact solution Kudryashov-Sinelshchikov equation stability analysis.