Unification of all hyperbolic tangent function methods
Open Physics, 2016 Over the last twenty years, several “different” hyperbolic tangent function methods have been proposed to search solutions for nonlinear partial differential equations (NPDEs).
Gözükızıl Ömer Faruk +2 more
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On soliton solutions of the Wu-Zhang system
Open Physics, 2016 In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.
Inc Mustafa +5 more
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Nonlinear self adjointness, conservation laws and exact solutions of ill-posed Boussinesq equation
Open Physics, 2016 In this work, we consider the ill-posed Boussinesq equation which arises in shallow water waves and non-linear lattices. We prove that the ill-posed Boussinesq equation is nonlinearly self-adjoint.
Yaşar Emrullah +2 more
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Multi-soliton rational solutions for some nonlinear evolution equations
Open Physics, 2016 The Korteweg-de Vries equation (KdV) and the (2+ 1)-dimensional Nizhnik-Novikov-Veselov system (NNV) are presented. Multi-soliton rational solutions of these equations are obtained via the generalized unified method.
Osman Mohamed S.
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Comparison between the (G’/G) - expansion method and the modified extended tanh method
Open Physics, 2016 In this paper, firstly, we give a connection between well known and commonly used methods called the (G'G)$\left( {{{G'} \over G}} \right)$ -expansion method and the modified extended tanh method which are often used for finding exact solutions of ...
Akçaği Şamil, Aydemir Tuğba
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New prospects for the numerical calculation of Mellin-Barnes integrals in Minkowskian kinematics [PDF]
, 2017 During the last several years remarkable progress has been made in numerical calculations of dimensionally regulated multi-loop Feynman diagrams using Mellin-Barnes (MB) representations. The bottlenecks were non-planar diagrams and Minkowskian kinematics.
Dubovyk, Ievgen +4 more
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Regarding on the exact solutions for the nonlinear fractional differential equations
Open Physics, 2016 In this work, we have considered the modified simple equation (MSE) method for obtaining exact solutions of nonlinear fractional-order differential equations.
Kaplan Melike +2 more
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Method of computation of energies in the fractional quantum Hall effect regime [PDF]
, 2016 In a previous work, we reported exact results of energies of the ground state in the fractional quantum Hall effect (FQHE) regime for systems with up to $N_{\text{e}} = 6$ electrons at the filling factor $\nu = 1/3$ by using the method of complex polar ...
Ammar, M. A., Bekhechi, S., Bentalha, Z.
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Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
, 2008 Up to the moment there are two known algorithms of sector decomposition: an original private algorithm of Binoth and Heinrich and an algorithm made public lastyear by Bogner and Weinzierl.
Smirnov, A. V., Tentyukov, M. N.
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Calculation of Massless Feynman Integrals using Harmonic Sums [PDF]
, 2006 A method for the evaluation of the epsilon expansion of multi-loop massless Feynman integrals is introduced. This method is based on the Gegenbauer polynomial technique and the expansion of the Gamma function in terms of harmonic sums. Algorithms for the
Bekavac, Stefan
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