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
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Journal of the Egyptian Mathematical Society, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled A Gepreel
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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
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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
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
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Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM
Journal of the European Optical Society-Rapid Publications, 2018 Background This paper studies soliton perturbation in optical metamaterials, with anticubic nonlinearity. Methods Two integration approaches, namely, the extended trial equation method (ETEM) and the improved G’/Gexpansion method (IGEM) are presented ...
Mohammadreza Foroutan +2 more
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(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods [PDF]
, 2018 We consider ultraweak variational formulations for (parametrized) linear first order transport equations in time and/or space. Computationally feasible pairs of optimally stable trial and test spaces are presented, starting with a suitable test space and
Brunken, Julia +2 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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New Variational Principles for Two Kinds of Nonlinear Partial Differential Equation in Shallow Water [PDF]
Journal of Applied and Computational MechanicsVariational principles are very important for a lot of nonlinear problems to be analyzed theoretically or solved numerically. By the popular semi-inverse method and designing trial-Lagrange functionals skillfully, new variational principles are ...
Xiao-Qun Cao +4 more
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A novel approach for nonlinearity detection in vibrating systems [PDF]
, 2008 This paper proposes a novel approach for nonlinearity detection in vibrating systems. The approach is developed based on a new concept recently proposed by the author known as nonlinear output frequency response functions (NOFRFs) and the properties of ...
Lang, Z.Q., Peng, Z.K.
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