Results 11 to 20 of about 467,366 (265)
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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Mathematical analysis of the Generalized Benjamin and Burger-Kdv Equations via the Extended Trial Equation Method [PDF]
Journal of the Association of Arab Universities for Basic and Applied Sciences, 2014 AbstractIn this paper, using the Extended Trial Equation (ETEM), we get new traveling wave solutions of the Generalized Benjamin, the Generalized Burger-Kdv Equations (GBE, GBKE). The obtained solutions not only constitute a novel analytical viewpoint in nonlinear complex phenomena, but they also form a new stand alone basis from which physical ...
Belgacem, Fethi Bin Muhammad +3 more
semanticscholar +3 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 ...
Gurefe, Yusuf +3 more
openaire +5 more sources
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 WITH FOUR{WAVE MIXING BY EXTENDED TRIAL EQUATION METHOD
Scientia Iranica, 2018 This paper obtains optical soliton solutions in birefringent bers that are studied in presence of four-wave mixing.The extended trial function scheme is the integration algorithm that is applied. Both Kerr law and parabolic laws are taken into account. The soliton solutions are presented with relevant integrability criteria.
Anjan Biswas +5 more
openaire +2 more sources
Exact wave patterns and chaotic dynamical behaviors of the extended (3+1)-dimensional NLSE
AIMS MathematicsIn this paper, exact wave propagation patterns and chaotic dynamical behaviors of the extended (3+1)-dimensional nonlinear Schrödinger equation are studied.
Ninghe Yang
doaj +2 more sources
Infinite family of second-law-like inequalities [PDF]
, 2012 The probability distribution function for an out of equilibrium system may sometimes be approximated by a physically motivated "trial" distribution.
Kolton, Alejandro B. +2 more
core +2 more sources
Solitons and other solutions to Wu–Zhang system
Nonlinear Analysis, 2017 This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves and singular solitary waves solutions.
Mohammad Mirzazadeh +5 more
doaj +1 more source
The cluster glass state in the two-dimensional extended t-J model [PDF]
, 2008 The recent observation of an electronic cluster glass state composed of random domains with unidirectional modulation of charge density and/or spin density on Bi_{2}Sr_{2}CaCu_{2}O_{8+\delta} reinvigorates the debate of existence of competing ...
Chou, Chung-Pin +2 more
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New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation
Entropy, 2015 In this paper, exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation are successfully obtained. The extended trial equation method (ETEM) and generalized Kudryashov method (GKM) are applied to find several exact solutions ...
Seyma Tuluce Demiray, Hasan Bulut
doaj +1 more source