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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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Optical solitons with Kudryashov's model by a range of integration norms
Chinese Journal of Physics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salam Khan +2 more
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SOLITON SOLUTIONS FOR KUDRYASHOV-SINELSHCHIKOV EQUATION
2018This paper acquires the closed form solutions for the Kudryashov-Sinelshchikov (KS) equation. The Riccati-Bernoulli (RB) sub-ODE method is used to acquire such solitons whose structure include trigonmetric, hyperbolic and algebraic structures.
YUSUF, Abdullahi +2 more
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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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Solitons in magneto–optic waveguides with Kudryashov’s law of refractive index
Chaos, Solitons & Fractals, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elsayed M.E. Zayed +6 more
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Optical solitons with Kudryashov’s equation by extended trial function
Optik, 2020Abstract A new model, namely Kudryashov's equation, for securing optical solitons has been proposed. This paper obtains bright and singular optical solitons to the equation by extended trial function. The existence criteria for such solitons are also enumerated.
Anjan Biswas +4 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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