The exact solutions for Kudryashov and Sinelshchikov equation with variable coefficients
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Date
2022
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Journal ISSN
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Publisher
Institute of Physics
Abstract
The Kudryashov and Sinelshchikov (KS) equation address pressure waves in liquid-gas bubble mixtures while considering heat transport and viscosity. This study mainly includes two types of generalized solutions: polynomial function traveling wave solutions and rational function traveling wave solutions. In this study, we constructed the KS equation's exact traveling and solitary wave solutions with variable coefficients by the generalized unified method (GUM). These newly created solutions play a significant role in mathematical physics, optical fiber physics, plasma physics, and other applied science disciplines. We illustrated the dynamical behavior of the discovered solutions in three dimensions. We proposed the possibility of discussing wave interaction and other wave structures using bilinear form related to the Hirota method for the fractional solutions. © 2022 IOP Publishing Ltd.
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Keywords
Korteweg-de Vries equation, Liquefied gases, Optical fibers, Polynomials, Solitons, Exact solution, Korteweg-de Vries-equation, Multi-rational solution, Pressure waves, Rational solution, The generalized unified method, Traveling wave solution, Unified method, Variable coefficients, Rational functions
Citation
Physica Scripta, 2022, 97, 9, pp. -