Resonant multi-soliton and multiple rogue wave solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equation
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DOI: 10.1088/1402-4896/ac098b
Abstract: In this paper, we investigated various exact solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equation in a mixture of liquid and gas bubbles. At first, the linear superposition principle was introduced to obtain resonant multi-soliton solutions and we… read more here.
Keywords: sinelshchikov equation; dimensional kudryashov; wave solutions; kudryashov sinelshchikov ... See more keywords
Exact solutions of Kudryashov–Sinelshchikov equation using two analytical techniques
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DOI: 10.1140/epjp/s13360-021-01589-4
Abstract: In this article, we construct the exact solutions of Kudryashov–Sinelshchikov equation (KSE) which is the generalization of KdV and describes the nonlinear waves in mixtures of gas–liquid in the absence of viscosity. We apply the… read more here.
Keywords: kudryashov sinelshchikov; sinelshchikov equation; equation using; solutions kudryashov ... See more keywords
New exact solutions for Kudryashov–Sinelshchikov equation
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DOI: 10.1186/s13662-018-1769-6
Abstract: In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G$\frac{G'}{G}$-polynomial expansion method to the Riccati equation. By solving the Riccati equation, we obtain more exact solutions to the auxiliary… read more here.
Keywords: sinelshchikov equation; solutions kudryashov; kudryashov sinelshchikov; equation ... See more keywords
On the Solutions for a Fifth Order Kudryashov-Sinelshchikov Type Equation
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DOI: 10.3390/sym14081535
Abstract: The fifth order Kudryashov–Sinelshchikov equation models the evolution of the nonlinear waves in a gas–liquid mixture, taking into account an interphase heat transfer, surface tension, and weak liquid compressibility simultaneously at the derivation of the… read more here.
Keywords: kudryashov sinelshchikov; order kudryashov; fifth order; equation ... See more keywords