Results 21 to 30 of about 517 (92)
Optical solitons of the Kudryashov Equation via an analytical technique [PDF]
, 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
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Advances 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]
, 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
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On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation [PDF]
, 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
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Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods [PDF]
, 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
Journal of Taibah University for Science, 2019 In this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method.
Aly R. Seadawy +2 more
doaj +1 more source
Abstract 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
Mathematical 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
Mathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013 In this paper, by using the integral bifurcation method, we studied the Kudryashov‐Sinelshchikov equation. In the special parametric conditions, some singular and nonsingular exact traveling wave solutions, such as periodic cusp‐wave solutions, periodic loop‐wave solutions, smooth loop‐soliton solutions, smooth solitary wave solutions, periodic double ...
Can Chen +3 more
wiley +1 more source
On Classical Solutions for A Kuramoto–Sinelshchikov–Velarde-Type Equation [PDF]
, 2020 The Kuramoto–Sinelshchikov–Velarde equation describes the evolution of a phase turbulence in reaction-diffusion systems or the evolution of the plane flame propagation, taking into account the combined influence of diffusion and thermal ...
Coclite, Giuseppe Maria +3 more
core +1 more source