Results 11 to 20 of about 567 (108)

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   +3 more sources

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
doaj   +3 more sources

SOLITON SOLUTIONS FOR KUDRYASHOV-SINELSHCHIKOV EQUATION

Applied Mathematics and Computation, 2018
This paper acquires the closed form solutions for the Kudryashov-Sinelshchikov (KS) equation. The Riccati-Bernoulli (RB) sub-ODE method is used to acquire such solitons whose structure include trigonmetric, hyperbolic and algebraic structures.
YUSUF, Abdullahi, INC, Mustafa, BAYRAM, Mustafa   +2 more
wiley   +7 more sources

Periodic Loop Solutions and Their Limit Forms for the Kudryashov‐Sinelshchikov Equation [PDF]

Mathematical Problems in Engineering, 2012
The Kudryashov‐Sinelshchikov equation is studied by using the bifurcation method of dynamical systems and the method of phase portraits analysis. We show that the limit forms of periodic loop solutions contain loop soliton solutions, smooth periodic wave solutions, and periodic cusp wave solutions.
He, Bin, Meng, Qing, Zhang, Jinhua, Long, Yao   +3 more
openaire   +2 more sources

Symmetry Classification and Solutions for the Third-Order of Kudryashov–Sinelshchikov Equation

Mathematical Problems in Engineering, 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, null Hong Li, null Tianhao Li
openaire   +2 more sources

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   +2 more sources

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
doaj   +2 more sources

On the Solutions for a Fifth Order Kudryashov–Sinelshchikov Type Equation

Symmetry, 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 derivation of the equations for non-linear-waves.
Giuseppe Maria Coclite, Lorenzo di Ruvo
openaire   +2 more sources

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
doaj   +3 more sources

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
doaj   +2 more sources