Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]
Sci RepSoliman M +3 more
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Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]
Sci RepKhan MI +6 more
europepmc +1 more source
Analyzing the neural wave structures in the field of neuroscience. [PDF]
Sci RepYounas U +4 more
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Explicit solitary wave structure for the stochastic resonance nonlinear Schrödinger equation under Brownian motion with dynamical analysis. [PDF]
Sci RepNawaz S +4 more
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Application of the modified Kudryashov method to the generalized Schrödinger–Boussinesq equations
Optical and Quantum Electronics, 2018 In 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.
Melike Kaplan, Dipankar Kumar
exaly +4 more sources
A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics
Nonlinear Dynamics, 2016 Nonlinear evolution equations form the most fundamental theme in mathematical physics. The search for exact solutions of nonlinear equations has been of interest in recent years. In this paper, we obtain exact solutions of the nonlinear Jaulent–Miodek hierarchy and (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff equation by using the generalized ...
Melike Kaplan +2 more
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Optical and Quantum Electronics, 2023 In this paper, the new optical wave solutions to the truncated M-fractional (2 + 1)-dimensional non-linear Schrodinger's complex hyperbolic model by utilizing the generalized Kudryashov method are obtained. The obtained solutions are in the form of trigonometric, hyperbolic and mixed form.
Jalil Manafian +2 more
exaly +4 more sources
Soliton solutions of Wu-Zhang system by generalized Kudryashov method
AIP Conference Proceedings, 2018 In this paper, generalized Kudryashov method (GKM) is used to find some exact solutions of Wu-Zhang system. Firstly, we get dark soliton solutions of this system by using GKM. Then, we plot graphics of some solutions of this system. Also, we remark results that we found by using this method.
ÇELİK, Ercan +2 more
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Harmonizing wave solutions to the Fokas-Lenells model through the generalized Kudryashov method
Optik, 2021Abstract In this article, the closed form general and standard solutions accessible in the literature of nonlinear evolution equation (NLEE), namely, the Fokas-Lenells (FL) equation is established by using the generalized Kudryashov approach. The implemented method extracts lots of new and compatible wave solutions involving unknown parameters and ...
M Ali Akbar +2 more
exaly +2 more sources
A novel generalized Kudryashov method for exact solutions of nonlinear evolution equations
AIP Conference Proceedings, 2017 Nonlinear evolution equation (NLEE) systems model the most essential topics in nonlinear sciences. Exact solutions of these equations play a major role in the suitable understanding of mechanisms of the various physical phenomena modelled by these NLEEs.
KOPARAN, MURAT +3 more
openaire +3 more sources