Results 11 to 20 of about 517 (92)
Lie Symmetry Analysis of Kudryashov-Sinelshchikov Equation
Mathematical Problems in Engineering, Volume 2011, Issue 1, 2011., 2011 The Lie symmetry method is performed for the fifth-order nonlinear evolution Kudryashov-Sinelshchikov equation. We will find ones and two-dimensional optimal systems of Lie subalgebras.
Vahid Shirvani-Sh, Mehdi Nadjafikhah
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Examples and Counterexamples, 2021 In this work, the optimal system associated to the second order Kudryashov–Sinelshchikov equation is calculated. Such optimal system is obtained from the Lie symmetry group corresponding to the equation previously mentioned and using this algebra we are ...
O.M.L. Duque +3 more
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Results in Physics, 2022 The variable-coefficients 3D-Kudryashov–Sinelshchikov (vcKS) equation is an important mathematical model that describes the pressure of gas bubbles in the liquid, and is considered as an impressive phenomenon with many applications in medicine, ocean ...
Rehab M. El-Shiekh +2 more
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Symmetry Classification and Solutions for the Third‐Order of Kudryashov–Sinelshchikov Equation
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper studies nonlinear wave propagation in a bubble‐liquid mixture based on the third‐order Kudryashov–Sinelshchikov (KS) equation. Symmetry is classified and reduced through the symmetry group method. Through the generalized conditional symmetry method, this equation is classified, and the generalized conditional symmetry considered are second ...
Jina Li +3 more
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Journal of Ocean Engineering and Science, 2022 The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar +2 more
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Global Exponential Stability of a Discrete‐Time Rayleigh System with Delays
Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 This paper deals with the problem of global exponential stability for a discrete‐time Rayleigh system with delays. By using the mathematical induction method, some sufficient conditions are proposed for the global exponential stability of the discrete‐time Rayleigh system.
Bangyu Shen, Carmen Coll
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Results in Physics, 2023 This paper focuses on some novel exact solutions of the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation (KSE). Based on the linear superposition principle (LSP) and weight algorithm (WA), we construct the complexiton solutions by introducing the ...
Kang-Jia Wang
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Existence results for the Kudryashov-Sinelshchikov-Olver equation
, 2021 The Kudryashov-Sinelshchikov-Olver equation describes pressure waves in liquids with gas bubbles taking into account heat transfer and viscosity. In this paper, we prove the existence of solutions of the Cauchy problem associated with this equation.
Giuseppe Maria Coclite, Lorenzo di Ruvo
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Global H4 solution for the fifth-order Kudryashov–Sinelshchikov–Olver equation
, 2022 The fifth-order Kudryashov–Sinelshchikov–Olver equation is a nonlinear partial differential equation, which describes the interactions between short waves and long waves. Here, we prove the global existence of solutions for the Cauchy problem associated
Di Ruvo, L +3 more
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On the Solutions for a Fifth Order Kudryashov–Sinelshchikov Type Equation
, 2022 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 ...
Coclite, Giuseppe Maria +3 more
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