Results 1 to 10 of about 502 (81)

New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique

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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Exploring Propagating Soliton Solutions for the Fractional Kudryashov–Sinelshchikov Equation in a Mixture of Liquid–Gas Bubbles under the Consideration of Heat Transfer and Viscosity [PDF]

Fractal and Fractional, 2023
In this research work, we investigate the complex structure of soliton in the Fractional Kudryashov–Sinelshchikov Equation (FKSE) using conformable fractional derivatives.
Rashid Ali, Ahmed S. Hendy, Mohamed R. Ali, Ahmed M. Hassan, Fuad A. Awwad, Emad A. A. Ismail   +5 more
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F-Expansion Method and Its Application for Finding New Exact Solutions to the Kudryashov-Sinelshchikov Equation [PDF]

Journal of Applied Mathematics, 2013
Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained.
Yun-Mei Zhao
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New exact solutions for Kudryashov–Sinelshchikov equation

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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Localized waves and their novel interaction solutions for a dimensionally reduced (2 + 1)-dimensional Kudryashov Sinelshchikov equation

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, Dipankar Kumar, Mustafa Inc, M. Alhaz Uddin, Rubayyi T. Alqahtani   +4 more
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Pattern Formation of a Bubbly Fluid Mixture under the Effect of Thermodynamics via Kudryashov-Sinelshchikov Model

Journal of Mathematics, 2022
In this paper, new explicit wave solutions via liquid-gas bubbles are obtained for the fractional Kudryashov-Sinelshchikov (KS) equation under thermodynamic assumptions.
Abdel-Haleem Abdel-Aty, Nauman Raza, Amna Batool, Emad E. Mahmoud, Ibrahim S. Yahia, El Sayed Yousef   +5 more
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A Petrov–Galerkin approach for the numerical analysis of soliton and multi-soliton solutions of the Kudryashov–Sinelshchikov equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
This study delves into the potential polynomial and rational wave solutions of the Kudryashov–Sinelshchikov equation. This equation has multiple applications including the modeling of propagation for nonlinear waves in various physical systems.
H. Samy, W. Adel, I. Hanafy, M. Ramadan
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Exact solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation via the first integral method

Nonlinear Analysis, 2012
In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation by using the first integral method. This method is based on the theory of commutative algebra. This method can be applied
Mohammad Mirzazadeh, Mostafa Eslami
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Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics

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, M. N. B. Mohamad, Mukhiddin Muminov   +2 more
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Resonant soliton molecules, asymmetric solitons and the other diverse wave solutions to the (3 + 1)-dimensional generalized Kudryashov-Sinelshchikov equation for liquid with gas bubbles

Results in Physics
Under the present study, we focus on developing some exact solutions of the (3 + 1)-dimensional generalized Kudryashov-Sinelshchikov equation (KSE) for the liquid with gas bubbles.
Peng Xu, Huan Huang, Chun Shan, Kang-Jia Wang   +3 more
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