Results 21 to 30 of about 567 (108)
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
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
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]
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
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]
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]
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]
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
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
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

