Results 11 to 20 of about 1,434 (182)
Results in Physics, 2017 In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four ...
Forhad Mahmud +2 more
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The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method [PDF]
Optical and Quantum Electronics, 2021 Abstract This research article is dedicated to applying the generalized Kudryashov method in order to acquire new exact and soliton-type solutions of the conformable Burgers' equation and Wu-Zhang system with conformable derivative.
Melike Kaplan, Arzu Akbulut
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Results in Physics, 2021 In this work, we study the optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov’s method (NKM). The aforesaid model is examined with time-dependent coefficients. We considered three interesting non-Kerr laws which are respectively the quadratic-cubic law, anti-cubic law ...
Rezazadeh, Hadi +6 more
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Alexandria Engineering Journal, 2022 In this work, the improved modified extended tanh scheme is implemented to extract exact travelling wave solutions for perturbed nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index and dual form of generalized nonlocal nonlinearity. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons,
Islam Samir +3 more
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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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Journal of the Egyptian Mathematical Society, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gepreel, Khaled A. +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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Exact Optical Solitons for Generalized Kudryashov’s Equation by Lie Symmetry Method
Journal of Mathematics, 2023 In this article, we use Lie point symmetry analysis to extract some new optical soliton solutions for the generalized Kudryashov’s equation (GKE) with an arbitrary power nonlinearity. Using a traveling wave transformation, the GKE is transformed into a nonlinear second order ordinary differential equation (ODE).
Rajagopalan Ramaswamy +4 more
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Sub-10-fs-pulse propagation between analytical and numerical investigation
Results in Physics, 2021 This paper investigates the analytical solutions of the well-known nonlinear Schrödinger (NLS) equation with the higher-order through three members of Kudryashov methods (the original Kudryashov method, modified Kudryashov method, and generalized ...
Mostafa M.A. Khater +6 more
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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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