Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]
Khan MI +6 more
europepmc +1 more source
Dynamical solitonic wave formation to optical fiber communications with strong nonlinearity and inhomogeneity. [PDF]
Faridi WA, Ciurdariu L, Ibrahim AA.
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Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]
Aghazadeh A, Lakestani M.
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Analytical technique and diverse chaos-identifying tools for the time fractional symmetric regularized long wave equation. [PDF]
Ullah MS, Hasan MM, Mahbub MA.
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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.
Anjan Biswas
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Optical soliton with Kudryashov’s equation via sine-Gordon expansion and Kudryashov methods
Optical and Quantum Electronics, 2021This article is concerned with analyzing exact optical soliton solutions to Kudryashov’s model. To this end, the sine-Gordon expansion and Kudryashov methods are exerted and a bunch of new optical soliton solutions is acquired. The implementation and algebraic methods are discussed in detail.
Khalid K. Ali +4 more
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Stationary optical solitons with Kudryashov’s laws of refractive index
Chaos, Solitons & Fractals, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ekici, Mehmet +2 more
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Existence results for the Kudryashov–Sinelshchikov–Olver equation
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020AbstractThe Kudryashov–Sinelshchikov–Olver equation describes pressure waves in liquids with gas bubbles taking into account heat transfer and viscosity. In this paper, we prove the existence of solutions of the Cauchy problem associated with this equation.
Coclite, Giuseppe Maria +1 more
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Solvability of the Gakhov Equation in S. N. Kudryashov’s Example
Lobachevskii Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gimadeeva Aygul Rafailevna +1 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.
Misirli, Emine, Ege, Serife Muge
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