Results 11 to 20 of about 132,765,175 (196)
Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation [PDF]
The generalized Kuramoto–Sivashinsky equation is investigated using the modified Kudrayshov method for the exact analytical solution. The modified Kudrayshov method converts the nonlinear partial differential equation to algebraic equations, as a result of various steps, which on solving the so obtained equation systems yields the analytical ...
Rathinavel Silambarasan, Adem Kilicman
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The modified Kudryashov method for solving some fractional-order nonlinear equations [PDF]
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Ege, Serife Muge, Misirli, Emine
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Traveling Wave Solutions For Two Physical Models via Extended Modified Kudryashov Method
In this paper, we propose the extended modified Kudryashov method (EMKM) for solving the Biswas-Milovic equation and Gerdjikov-Ivanov equation which are commonly special cases of Schrödinger equation in mathematical physics. We received many new extended traveling wave solutions when the special values of the parameters are taken for these equations ...
Şerife Müge EGE, Şerife Müge EGE
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This paper addresses the Heisenberg ferromagnetic spin chain equation with beta time derivative. Integration schemes are used to study this equation. They are generalized Kudryashov method and modified exp -expansion function method. Dark, bright and dark-bright soliton solutions of this equation are procured.
S. Tuluce Demiray, U. Bayrakci
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A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol +2 more
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Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method
This paper studies the propagation of the short pulse optics model governed by the higher-order nonlinear Schrödinger equation (NLSE) with non-Kerr nonlinearity.
Noha M. Rasheed +4 more
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New extended generalized Kudryashov method for solving three nonlinear partial differential equations [PDF]
New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger ...
Elsayed M.E. Zayed +2 more
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In this paper, the modified Kudryashov method is employed to find the traveling wave solutions of two well-known space-time fractional partial differential equations, namely the Zakharov Kuznetshov Benjamin Bona Mahony equation and Kolmogorov Petrovskii Piskunov equation, and as a helping tool, the sense of modified Riemann-Liouville derivative is also
Md. Mahfujur Rahman +3 more
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On the optical soliton solutions of (2+1)-Biswas-Milovic equation via modified new Kudryashov method
This study includes the examination of optical soliton solutions of the (2+1)-dimensional Biswas-Milovic equation, which is an important equation modeling the soliton behavior in optical fibers, which has been introduced to the literature recently. Since the investigated equation and method are recently introduced and not much works has been done, the ...
Ramazan TEKERCİOĞLU +1 more
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The present paper deals with two reliable efficient methods viz. tanh-sech method and modified Kudryashov method, which are used to solve time-fractional nonlinear evolution equation.
S. Saha Ray, S. Sahoo
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