Results 21 to 30 of about 1,885 (105)

Numerical Simulation of the Kudryashov–Sinelshchikov Equation for Modeling Pressure Waves in Liquids with Gas Bubbles

Mathematics
The Kudryashov–Sinelshchikov equation (KSE) is crucial in modeling pressure waves in liquids containing gas bubbles, capturing both nonlinear wave phenomena and dispersion effects.
Gayatri Das, Bibekananda Sitha, Rajesh Kumar Mohapatra, Predrag Stanimirović, Tzung-Pei Hong   +4 more
doaj   +2 more sources

Approximate analytical solution to the Kudryashov-Sinelshchikov equation with he’s fractional derivative

Thermal Science, 2023
In this paper, the Adomian decomposition method was employed successfully to solve the Kudryashov-Sinelshchikov equation involving He?s fractional derivatives, and an approximate analytical solution was obtained.
Xiuquan Zhang
openaire   +2 more sources

Exact solutions for the (3+1)-dimensional Kudryashov-Sinelshchikov equation

Journal of Physics: Conference Series, 2019
Abstract In this work, (3+1)-dimensional Kudryashov-Sinelshchikov equation is investigated by using the sine-cosine method and modification of the truncated expansion method. A variety of exact solutions are obtained.
G.N. Shaikhova, B.B. Kutum, A.B. Altaybaeva, B.K. Rakhimzhanov   +3 more
openaire   +2 more sources

New Jacobi Elliptic Function Solutions for the Kudryashov-Sinelshchikov Equation Using Improved F-Expansion Method [PDF]

Mathematical Problems in Engineering, 2013
Based on the F-expansion method with a new subequation, an improved F-expansion method is introduced. As illustrative examples, some new exact solutions expressed by the Jacobi elliptic function of the Kudryashov-Sinelshchikov equation are obtained. When the modulusmof the Jacobi elliptic function is driven to the limits 1 and 0, some exact solutions ...
Yinghui He, Gradimir Milovanovic
openaire   +3 more sources

Local conservation laws, symmetries, and exact solutions for a Kudryashov‐Sinelshchikov equation

Mathematical Methods in the Applied Sciences, 2017
In this paper, we consider a Kudryashov‐Sinelshchikov equation that describes pressure waves in a mixture of a liquid and gas bubbles taking into consideration the viscosity of liquid and the heat transfer between liquid and gas bubbles. We show that this equation is rich in conservation laws. These conservation laws have been found by using the direct
M. S. Bruzón, E. Recio, R. de la Rosa, M. L. Gandarias   +3 more
openaire   +4 more sources

Traveling wave solutions and conservation laws of a generalized Kudryashov–Sinelshchikov equation

Journal of Applied Analysis, 2019
Abstract Kudryashov and Sinelshchikov proposed a nonlinear evolution equation that models the pressure waves in a mixture of liquid and gas bubbles by taking into account the viscosity of the liquid and the heat transfer. Conservation laws and exact solutions are computed for this underlying equation.
Muatjetjeja, Ben, Adem, Abdullahi Rashid, Mbusi, Sivenathi Oscar   +2 more
openaire   +2 more sources

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.
openaire   +3 more sources

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
wiley   +1 more source

A note on "new travelling wave solutions to the Ostrovsky equation" [PDF]

, 2010
In a recent paper by Yaşar [E. Yaşar, New travelling wave solutions to the Ostrovsky equation, Appl. Math. Comput. 216 (2010), 3191-3194], 'new' travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
core   +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