Results 21 to 30 of about 567 (108)

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

open access: yesJournal 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   +2 more
doaj   +1 more source

Global Exponential Stability of a Discrete‐Time Rayleigh System with Delays

open access: yesDiscrete 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

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

open access: yesResults 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

Optical solitons of the Kudryashov Equation via an analytical technique [PDF]

open access: yes, 2022
Some new optical solitons find for the Kudryashov equation (KE) in this study. These solutions are in the form of dark, bright, singular, singular-dark solitons and other solutions with certain conditions.
Bayram, Mustafa   +3 more
core   +1 more source

The plethora of explicit solutions of the fractional KS equation through liquid–gas bubbles mix under the thermodynamic conditions via Atangana–Baleanu derivative operator

open access: yesAdvances in Difference Equations, 2020
Novel explicit wave solutions are constructed for the Kudryashov–Sinelshchikov (KS) equation through liquid–gas bubbles mix under the thermodynamic conditions.
Chen Yue   +3 more
doaj   +1 more source

$$H^1$$ solutions for a Kuramoto–Sinelshchikov–Cahn–Hilliard type equation [PDF]

open access: yes, 2023
The Kuramoto-Sinelshchikov-Cahn-Hilliard equation models the spinodal decomposition of phase separating systems in an external field, the spatiotemporal evolution of the morphology of steps on crystal surfaces and the growth of thermodynamically unstable
Coclite, Giuseppe Maria   +3 more
core   +1 more source

On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation [PDF]

open access: yes, 2021
The Kuramoto-Sinelshchikov equation describes the evolution of a phase turbulence in reaction-diffusion systems or the evolution of the plane flame propagation, taking in account the combined influence of diffusion and thermal conduction of the gas on ...
di Ruvo, Lorenzo   +1 more
core   +1 more source

Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods [PDF]

open access: yes, 2022
This article deals with the study of ultrasound propagation, which propagates the mechanical vibration of the molecules or of the particles of a material. It measures the speed of sound in air.
Bayram, Mustafa   +11 more
core   +1 more source

Traveling Wave Solutions and Infinite‐Dimensional Linear Spaces of Multiwave Solutions to Jimbo‐Miwa Equation

open access: yesAbstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
The traveling wave solutions and multiwave solutions to (3 + 1)‐dimensional Jimbo‐Miwa equation are investigated in this paper. As a result, besides the exact bounded solitary wave solutions, we obtain the existence of two families of bounded periodic traveling wave solutions and their implicit formulas by analysis of phase portrait of the ...
Lijun Zhang, C. M. Khalique, Weiguo Rui
wiley   +1 more source

New Jacobi Elliptic Function Solutions for the Kudryashov‐Sinelshchikov Equation Using Improved F‐Expansion Method

open access: yesMathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 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 modulus m of the Jacobi elliptic function is driven to the limits 1 and 0, some exact solutions
Yinghui He, Gradimir Milovanovic
wiley   +1 more source

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