The Exact Solutions of the Conformable Time-Fractional Modified Nonlinear Schrödinger Equation by the Trial Equation Method and Modified Trial Equation Method [PDF]
Advances in Mathematical Physics, 2022 Using the trial equation method (TEM) and modified trial equation method (MTEM), firstly, we find the analytical solutions of the conformable time-fractional modified nonlinear Schrödinger equation (CTFMNLSE), and finally, we present numerical results in
Safoura Rezaei Aderyani +3 more
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Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method [PDF]
Heliyon, 2023 The coupled Schrödinger-Korteweg-de Vries equation is a critical system of in nonlinear evolution equations. It describes various processes in dusty plasma, such as Langmuir waves, dust-acoustic waves, and electromagnetic waves.
Jiaxin Shang, Wenhe Li, Da Li
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The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation [PDF]
Abstract and Applied Analysis, 2013 The fractional partial differential equations stand for natural phenomena all over the world from science to engineering. When it comes to obtaining the solutions of these equations, there are many various techniques in the literature. Some of these give
Hasan Bulut +2 more
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The Extended Trial Equation Method for Some Time Fractional Differential Equations [PDF]
Discrete Dynamics in Nature and Society, 2013 Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir +2 more
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Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics [PDF]
Scientific ReportsIn this paper, a symbolic computation method based on a neural network architecture, the improved neural network-based method, for obtaining novel exact solutions to combined Kairat-II-X differential equation is proposed.
Ping Zhou +8 more
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The patterns of traveling wave on shallow water modeled by Green-Naghdi equation [PDF]
MATEC Web of Conferences, 2022 The Green-Naghdi equations are a shallow water waves model which play important roles in nonlinear wave fields. By using the trial equation method and the Complete discrimination system for the polynomial we obtained the classification of travelling wave
Wei Haitong
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Propagation of solitons in optical fibers with generalized Kudryashov’s refractive index
Results in Physics, 2021 The propagation of optical solitons in optical fibers with the generalized Kudryashov’s refractive index is described by a high order nonlinear Schrödinger equation.
Fan Sun
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Nonlinear Engineering, 2021 This article obtains optical solitons to the Biswas-Arshed equation for birefringent fibers with higher order dispersions and in the absence of four-wave mixing terms, in a media with Kerr type nonlinearity.
Tahir Muhammad +2 more
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Results in Physics, 2022 This paper secures exact solutions from perturbed complex Ginzburg–Landau equation that is taken into account with Kerr law and cubic–quintic–septic nonlinearity.
Ming-Yue Wang
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Non-Fuchsian Singularities in Quantum Mechanics [PDF]
, 1999 A modification of the spiked harmonic oscillator is studied in the case for which the perturbation potential contains both an inverse power and a linear term.
Esposito, Giampiero
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