Results 81 to 90 of about 284 (125)
Numerical solutions of fractional conformable derivative using a generalized Kudryashov method
This paper addresses the numerical solutions of fractional differential equations (FDEs) using the Generalized Kudryashov Method (GKM) in the context of the conformable fractional derivative. Fractional calculus, particularly the conformable derivative, provides a versatile framework for modeling systems exhibiting memory and hereditary properties ...
Oduselu-Hassan, Oladayo Emmanuel +1 more
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Exact solutions of the Kudryashov-Sinelshchikov equation by modified exp-function method [PDF]
Yinghui He, Shaolin Li, Yao Long
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Generalized Kudryashov method for nonlinear fractional double sinh--Poisson equation
Seyma Tuluce Demiray, Hasan Bulut
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Highly dispersive optical solitons using Kudryashov's method
Optik, 2019Abstract This work is about highly dispersive optical solitons with Kerr law, quadratic-cubic law and non-local nonlinearities. The Kudryashov's method implemented in this paper to find the unique optical closed form of solutions. The method under consideration is consistent, effectual and can be used to establish new exact solitons of different ...
Hamood Ur Rehman, M Imran
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Application of the modified Kudryashov method to the generalized Schrödinger–Boussinesq equations
Optical and Quantum Electronics, 2018In the paper, the modified Kudryashov method is applied to find new exact solutions for the generalized Schrodinger–Boussinesq equation with the help of symbolic computation package Maple through the complex transform. The obtained solutions have been checked by substituting back into its corresponding equation with the aid of Maple package program.
Dipankar Kumar +2 more
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Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malwe Boudoue Hubert +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malwe Boudoue Hubert +2 more
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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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Application of new Kudryashov method to various nonlinear partial differential equations
Optical and Quantum Electronics, 2022Sandeep Malik +2 more
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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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