Results 11 to 20 of about 13,925,367 (271)
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
doaj +4 more sources
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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Dispersive optical solitons with Schrödinger–Hirota equation by extended trial equation method [PDF]
Optik, 2017 Abstract This paper obtains bright, dark and singular soliton solutions from perturbed Schrodinger–Hirota equation that governs the propagation of dispersive pulses through optical fibers. The trial equation method is adopted to achieve this goal. Both Kerr and power laws of nonlinearity are covered.
Mehmet Ekici +8 more
exaly +7 more sources
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
doaj +6 more sources
Extended trial equation method to generalized nonlinear partial differential equations
Applied Mathematics and Computation, 2013 In this article, we give the extended trial equation method for solving nonlinear partial differential equations with higher order nonlinearity. By use of this method, the exact traveling wave solutions including soliton solution, singular soliton solutions, rational function solution and elliptic integral function solution to one-dimensional general ...
Yusuf Gurefe +3 more
exaly +8 more sources
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
doaj +2 more sources
Pramana - Journal of Physics, 2011 In this paper some exact solutions including soliton solutions for the KdV equation with dual power law nonlinearity and the K (m, n) equation with generalized evolution are obtained using the trial equation method.
Emine Misirli +2 more
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Chiral Solitons with Bohm Potential by Modified Simple Equation Method and Trial Equation Scheme
Acta Physica Polonica A, 2018 In this paper we obtain soliton solutions to chiral nonlinear Schrodinger's equation with the Bohm potential by the modified simple equation method and trial equation method. Solitons and shock wave solutions are obtained. Additionally, singular periodic solutions are revealed as a by-product of these approaches and these are also listed. The existence
Belic, M. +5 more
core +4 more sources
Symmetry, 2019 We study a fifth order time-fractional KdV equation (FKdV) under meaning of the conformal fractional derivative. By trial equation method based on symmetry, we construct the abundant exact traveling wave solutions to the FKdV equation.
Tao Liu
exaly +2 more sources
Journal of the Egyptian Mathematical Society, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled A Gepreel
openaire +4 more sources