Results 91 to 100 of about 3,928 (199)
Journal of Applied Mathematics, 2013 Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained.
Yun-Mei Zhao
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Stationary wave solutions for new developed two-waves’ fifth-order Korteweg–de Vries equation
Advances in Difference Equations, 2019 In this work, we present a new two-waves’ version of the fifth-order Korteweg–de Vries model. This model describes the propagation of moving two-waves under the influence of dispersion, nonlinearity, and phase velocity factors.
Mohammed Ali +3 more
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A new approach to Kudryashov’s method for solving some nonlinear physical models
International Journal of the Physical Sciences, 2012 In this paper, we give a new version of the Kudryashov's method for solving non-integrable partial differential equations in mathematical physics. Some exact solutions including 1-soliton and singular soliton solutions of the equation with generalized evolution and time dependent damping and dispersion are obtained by using this new approach.
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Nonlinear Analysis, 2012 In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation by using the first integral method. This method is based on the theory of commutative algebra. This method can be applied
Mohammad Mirzazadeh, Mostafa Eslami
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Partial Differential Equations in Applied MathematicsIn this study, the (3 + 1)-dimensional space-time fractional Boiti–Leon–Manna–Pempinelli (BLMP) equation is investigated utilizing the Kudryashov method (KM) and the modified Kudryashov method (MKM). These two efficient methods are implemented to acquire
A.K. Sahoo, A.K. Gupta
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Numerical solutions of fractional conformable derivative using a generalized Kudryashov method
Science World JournalThis 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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Alexandria Engineering JournalThe (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system.
Amjad E. Hamza +5 more
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Generalized Kudryashov method for nonlinear fractional double sinh--Poisson equation
Journal of Nonlinear Sciences and Applications, 2016 Seyma Tuluce Demiray, Hasan Bulut
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Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method. [PDF]
Sci RepTarek A, Ahmed HM, Badra N, Samir I.
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Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysis. [PDF]
Sci RepAlqhtani M +5 more
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