Results 1 to 10 of about 41 (38)

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
doaj   +2 more sources

Optimal system, reductions and Lie algebra classification for Kudryashov–Sinelshchikov equations of second order

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, Danilo A. García Hernández, G. Loaiza, Y. Acevedo   +3 more
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Similarity reductions and wave solutions for the 3D-Kudryashov–Sinelshchikov equation with variable-coefficients in gas bubbles for a liquid

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, Mahmoud Gaballah, Asmaa F. Elelamy   +2 more
doaj   +1 more source

Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

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, Monika Niwas, Shubham Kumar Dhiman   +2 more
doaj   +1 more source

Dynamics of complexiton, Y-type soliton and interaction solutions to the (3 + 1)-dimensional Kudryashov-Sinelshchikov equation in liquid with gas bubbles

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
doaj   +1 more source

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

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source