Results 141 to 150 of about 1,122 (176)
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Dispersive optical solitons by Kudryashov's method
Optik, 2014Abstract This paper studies the dynamics of dispersive optical solitions that is modeled by the fourth order nonlinear Schrodinger's equation and Schrodinger–Hirota equation, the latter of which is considered with power law nonlinearity. Kudryashov's method is applied to obtain soliton solutions to the model equations.
M. Mirzazadeh, M. Eslami, Anjan Biswas
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Invariant Subspace and Exact Solutions to the Generalized Kudryashov-Sinelshchikov Equation
Journal of Partial Differential Equations, 2023Summary: In this research, invariant subspaces and exact solutions for the governing equation are obtained through the invariant subspace method, and the generalized second-order Kudryashov-Sinelshchikov equation is used to describe pressure waves in a liquid with bubbles. The governing equations are classified and transformed into a system of ordinary
Li, Jina +3 more
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The modified Kudryashov method for solving some evolution equations
AIP Conference Proceedings, 2012The traveling wave solutions of nonlinear evolution equations have important role in many fields of applied sciences. In this study, we dwell upon the (2+1) dimensional Nizhnik-Nokikov-Veselov system and the modified Kudryashov method is used to construct traveling wave solutions.
Ege, Serife Muge, Misirli, Emine
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Optik, 2021
Abstract This paper enumerates optical soliton solutions in magneto-optic waveguides with perturbation terms. Cubic-quartic coupled system of NLSE with Kudryashov's sextic power of refractive index is discussed. The addendum to Kudryashov's method is applied. Combo bright-singular solitons, bright solitons and singular solitons are given.
Elsayed M.E. Zayed +2 more
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Abstract This paper enumerates optical soliton solutions in magneto-optic waveguides with perturbation terms. Cubic-quartic coupled system of NLSE with Kudryashov's sextic power of refractive index is discussed. The addendum to Kudryashov's method is applied. Combo bright-singular solitons, bright solitons and singular solitons are given.
Elsayed M.E. Zayed +2 more
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On the Kudryashov–Sinelshchikov equation for waves in bubbly liquids
Physics Letters A, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE KUDRYASHOV–SINELSHCHIKOV EQUATION
International Journal of Bifurcation and Chaos, 2012By using the approach of dynamical systems, the bifurcations of phase portraits for the traveling system of the Kudryashov–Sinelshchikov equation with ν = δ = 0 are studied, in different parametric regions of (α, c)-parametric plane. Corresponding to different phase orbits of the traveling system, more than 26 exact explicit traveling wave solutions ...
Jibin Li 0001, Guanrong Chen
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Soliton solutions of Wu-Zhang system by generalized Kudryashov method
AIP Conference Proceedings, 2018In this paper, generalized Kudryashov method (GKM) is used to find some exact solutions of Wu-Zhang system. Firstly, we get dark soliton solutions of this system by using GKM. Then, we plot graphics of some solutions of this system. Also, we remark results that we found by using this method.
ÇELİK, Ercan +2 more
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Optical Solitons with Kudryashov’s Equation by Lie Symmetry Analysis
Physics of Wave Phenomena, 2020In this work, Kudryashov’s equation is studied with Lie symmetry analysis, which is implemented to describe the propagation pulses in an optical fiber. The equation is converted into system of ordinary differential equations with similarity transformations. These gave way to bright, dark and singular optical soliton solutions to the model.
S. Kumar +6 more
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Local conservation laws, symmetries, and exact solutions for a Kudryashov‐Sinelshchikov equation
Mathematical Methods in the Applied Sciences, 2017In 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 +3 more
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Fractals
In this paper, our focus lies in exploring the Kudryashov auxiliary equation method as a means to derive several exact solutions to a conformable nonlinear Schrödinger equation. This particular model combines Kudryashov’s arbitrary refractive index alongside two various non-local nonlinearity.
MUHAMMAD AMIN SADIQ MURAD +4 more
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In this paper, our focus lies in exploring the Kudryashov auxiliary equation method as a means to derive several exact solutions to a conformable nonlinear Schrödinger equation. This particular model combines Kudryashov’s arbitrary refractive index alongside two various non-local nonlinearity.
MUHAMMAD AMIN SADIQ MURAD +4 more
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