Results 1 to 10 of about 96 (73)
New exact solutions for Kudryashov–Sinelshchikov equation [PDF]
Advances in Difference Equations, 2018 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.
Junliang Lu
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Exact solutions of the Kudryashov–Sinelshchikov equation [PDF]
Applied Mathematics and Computation, 2010 The Kudryashov-Sinelshchikov equation for describing the pressure waves in liquid with gas bubbles is studied. New exact solution of this equation are found. Modification of truncated expansion method is used for obtaining exact solution of this equation.
P N Ryabov
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Alexandria Engineering Journal, 2023 In this paper, a novel method presented in [1] is applied to solve time-fractional Kudryashov-Sinelshchikov equation (KS equation), a nonlinear fractional partial differential equation (NFPDE).
Khalid K. Ali, M. Maneea
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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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Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics [PDF]
Journal of Applied Mathematics, 2018 A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol +2 more
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Journal of Taibah University for Science, 2019 In this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method.
Aly R. Seadawy +2 more
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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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A singular limit problem for the Kudryashov-Sinelshchikov equation [PDF]
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2014 We consider the Kudryashov-Sinelshchikov equation, which contains nonlinear dispersive effects. We prove that as the diffusion parameter tends to zero, the solutions of the dispersive equation coverge to the entropy ones of the Burgers equation. The proof relies on deriving suitable a priori estimates together with an application of the compansated ...
COCLITE, Giuseppe Maria, di Ruvo L.
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Lie Symmetry Analysis of Kudryashov‐Sinelshchikov Equation [PDF]
Mathematical Problems in Engineering, 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. Furthermore, preliminary classification of its group‐invariant solutions is investigated.
Nadjafikhah, Mehdi, Shirvani-Sh, Vahid
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Results in Physics, 2023 Propagation of the pressure waves in a liquid with gas bubbles is an important topic in the field of fluid dynamics and mathematical physics. The Kudryashov-Sinelshchikov equation is one of the models that describe the propagation of nonlinear waves in a
Md. Nuruzzaman +4 more
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