Results 11 to 20 of about 2,690,806 (313)
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
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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
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Soliton solutions of coupled higgs field equation via the trial equation method
International Journal of Physical Research, 2019 Since a few recent decades, investigation of nonlinear evolution equations (NLEEs) is becoming an important area of research as they have a variety of applications in various branches of social and scientific disciplines like Ecology, Social Dynamics, Financial Mathematics, Engineering and many branches of Physics such as Biophysics, Chemical Physics ...
S. Subhaschandra Singh
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Generalized trial equation method and its applications toDuffing and Poisson--Boltzmann equations
TURKISH JOURNAL OF MATHEMATICS, 2017 Summary: The trial equation method, which was proposed by Cheng-Shi Liu, is a very powerful method for solving nonlinear differential equations. After the original trial method, some modified versions of the trial equation method were introduced and applied to some famous nonlinear differential equations.
Ali Özyapici
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Journal of the Egyptian Mathematical Society, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Gepreel
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Optical solitons in birefringent fibers by extended trial equation method [PDF]
Optik, 2016 Abstract This paper studies solitons in optical fibers by the aid of extended trial function method. This powerful mathematical tool is applied to birefringent fibers with Kerr and parabolic laws of nonlinearity. Bright and singular soliton solutions are obtained along with respective constraints that must hold to guarantee the existence of these ...
Mohammad Mirzazadeh +7 more
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Exact solutions of nonlinear Schrodinger’s equation with dual power-law nonlinearity by extended trial equation method [PDF]
Waves in Random and Complex Media, 2014 In this paper, we acquire the soliton solutions of the nonlinear Schrodinger's equation with dual power-law nonlinearity. Primiraly, we use the extended trial equation method to find exact solutions of this equation. Then, we attain some exact solutions including soliton solutions, rational and elliptic function solutions of this equation by using the ...
Bulut, Hasan +2 more
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Electronic Journal of Applied Mathematics, 2023 New solitary wave solutions for the Korteweg-de Vries (KdV) equation by a new version of the trial equation method are attained. Proper transformation reduces the Korteweg-de Vries (KdV) equation to a quadratic ordinary differential equation that is ...
Y. Pandır, Ali Ekin
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, 2021 Many methods have been developed by scientists to find solutions for nonlinear problems. In this paper, the general structure of the modified trial equation method (MTEM) is introduced, and MTEM is used to find some exact solutions of (2+1)-dimensional ...
S. Demiray, Ş. Duman
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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 ...
Gurefe, Yusuf +3 more
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