Results 41 to 50 of about 8,502 (211)
Finite-Temperature and -Density QED: Schwinger-Dyson Equation in the Real-Time Formalism [PDF]
, 1993 Based on the real-time formalism, especially, on Thermo Field Dynamics, we derive the Schwinger-Dyson gap equation for the fermion propagator in QED and Four-Fermion model at finite-temperature and -density.
Kondo, K. -I., Yoshida, K.
core +2 more sources
Solving Nonlinear Partial Differential Equations by the sn-ns Method
Abstract and Applied Analysis, 2012 We present the application of the sn-ns method to solve nonlinear partial differential equations. We show that the well-known tanh-coth method is a particular case of the sn-ns method.
Alvaro H. Salas
doaj +1 more source
Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane [PDF]
, 2017 We develop the asymptotic behavior for the solutions to the stationary Navier-Stokes equation in the exterior domain of the 2D hyperbolic space. More precisely, given the finite Dirichlet norm of the velocity, we show the velocity decays to $0$ at ...
Chan, Chi Hin +2 more
core +3 more sources
Observations on the basic (G′/G)-expansion method for finding solutions to nonlinear evolution equations [PDF]
, 2010 The extended tanh-function expansion method for finding solutions to nonlinear evolution equations delivers solutions in a straightforward manner and in a neat and helpful form.
Parkes, E.J.
core +1 more source
Solitary Wave Solutions for Zoomeron Equation
Walailak Journal of Science and Technology, 2012 Tanh-Coth Method is applied to find solitary wave solutions of the Zoomeron equation which is of extreme importance in mathematical physics. The proposed scheme is fully compatible with the complexity of the problem and is highly efficient.
Amna IRSHAD, Syed Tauseef MOHYUD-DIN
doaj +1 more source
Ain Shams Engineering Journal, 2021 In this paper, we study a fourth-order nonlinear symmetric regularized long-wave equation which arises in several physical applications including ion sound waves in plasma. This model also describes nonlinear ion-acoustic and space-charge waves.
Amjad Hussain +4 more
doaj +1 more source
Journal of Applied Mathematics, 2018 A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied
Y. B. Chukkol +2 more
doaj +1 more source
On traveling wave solutions to Manakov model with variable coefficients
Open Physics, 2023 We use a general transformation, to find exact solutions for the Manakov system with variable coefficients (depending on the time ε\varepsilon ) using an improved tanh–coth method. The solutions obtained in this work are more general compared to those in
Pashrashid Arash +6 more
doaj +1 more source
Mode-matching without root-finding: Application to a dissipative silencer [PDF]
, 2006 This article presents an analytic mode-matching approach suitable for modelling the propagation of sound in a two-dimensional, three-part, ducting system.
Jane B. Lawrie, Mechel F. P., Ray Kirby
core +2 more sources
A preconditioner for the Schur complement matrix [PDF]
, 2006 A preconditioner for iterative solution of the interface problem in Schur Complement Domain Decomposition Methods is presented. This preconditioner is based on solving a global problem in a narrow strip around the interface.
Dalcin, Lisandro Daniel +5 more
core +2 more sources