Results 11 to 20 of about 127,328,871 (181)
Open Physics, 2016 In this article, we apply the generalized Kudryashov method for finding exact solutions of three nonlinear partial differential equations (PDEs), namely: the Biswas-Milovic equation with dual-power law nonlinearity; the Zakharov--Kuznetsov equation (ZK(m,
Zayed EL Sayed M.E. +1 more
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Exact traveling wave solutions for nonlinear PDEs in mathematical physics using the generalized Kudryashov method [PDF]
Serbian Journal of Electrical Engineering, 2016 The generalized Kudryashov method is applied in this article for finding the exact solutions of nonlinear partial differential equations (PDEs) in mathematical physics. Solitons and other solutions are given.
Zayed El-Sayed Mohamed El-Sayed +1 more
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New extended generalized Kudryashov method for solving three nonlinear partial differential equations [PDF]
Nonlinear Analysis, 2020 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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Open Physics, 2018 In this paper the nonlinear long-short (LS) wave resonance model is analyzed through a new perspective. We obtain the classification of exact solutions by making use of the complete discrimination system for the trial equation method and through the ...
Cimpoiasu Rodica, Pauna Alina Streche
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Modified Kudrayshov Method to Solve Generalized Kuramoto–Sivashinsky Equation [PDF]
Symmetry, 2018 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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SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional transformation and the generalized Kudryashov method is applied to obtain exact solutions.
Gaber, Ahmed A., Ahmad, Hijaz
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Revista Mexicana de Física, 2020 In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger equations defined by Atangana's comformable derivative using the general Kudryashov method. Firstly, Atangana's comformable fractional derivative and its properties are included.
Gurefe, Yusuf
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APPLICATION OF THE GENERALIZED KUDRYASHOV METHOD TO THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION
Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and EngineeringIn this paper, we investigate the general solutions to the Kolmogorov-Petrovskii-Piskunov equation using the generalized Kudryasov method. It was demonstrated that all produced answers are supplied by exponential function solutions using the symbolic computer program Maple.
Zeynep Aydın, Filiz Taşcan
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Exact Solutions to Some Nonlinear Time-Fractional Evolution Equations Using the Generalized Kudryashov Method in Mathematical Physics [PDF]
Symmetry, 2023 In this study, we utilize the potent generalized Kudryashov method to address the intricate obstacles presented by fractional differential equations in the field of mathematical physics. Specifically, our focus centers on obtaining novel exact solutions for three pivotal equations: the time-fractional seventh-order Sawada-Kotera-Ito equation, the time ...
Ekici, Mustafa, Mustafa Ekici
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Results in Physics, 2021 The (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long-range interactions between the tropical, mid-latitude troposphere, the interaction of ...
Hemonta Kumar Barman +6 more
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