Results 81 to 90 of about 8,391 (169)

The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics

open access: yesMANAS: Journal of Engineering, 2016
Sobolev equations have been used to describe many physical phenomena and they are characterized by having mixed time and space derivatives appearing in the highest-order terms of an partial differential equation.
S. Akçağıl, O. Gözükızıl
doaj  

Exploring the dynamics of a generalized Burgers–Fisher model with advection and diffusion utilizing finite volume and finite difference strategies [PDF]

open access: yesAIP Advances
This investigation presents a numerical arrangement for the generalized nonlinear Burgers–Fisher equation, utilizing both finite difference and finite volume strategies, which provide second-order spatial and transient precision.
Muhammad Saqib   +5 more
doaj   +1 more source

Dynamical Chiral Symmetry Breaking, Color Superconductivity, and Bose-Einstein Condensation in an $SU(N_{c})\times U(N_{f})_{L}\times U(N_{f})_{R}$-invariant Supersymmetric Nambu$-$Jona-Lasinio Model

open access: yes, 2008
We investigate the phenomena of the dynamical chiral symmetry breaking (DCSB), color superconductivity (CSC), and Bose-Einstein condensation (BEC) in an ${\cal N}=1$ four-dimensional generalized SUSY Nambu$-$Jona-Lasinio model at finite temperature and ...
Abrikosov   +63 more
core   +1 more source

Analysis of the Generalized Ostrovsky Equation in the Propagation of Surface and Internal Waves in Rotating Fluids

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12427-12439, August 2025.
ABSTRACT The Ostrovsky equation models long, weakly nonlinear waves, explaining the propagation of surface and internal waves in a rotating fluid. The study focuses on the generalized Ostrovsky equation. Introduced by Levandosky and Liu, this equation demonstrates the existence of solitary waves through variational methods.
Sol Sáez
wiley   +1 more source

Optical solitons solution for the perturbed nonlinear Schrödinger’s equation

open access: yesPartial Differential Equations in Applied Mathematics
In this manuscript, the perturbed nonlinear Schrödinger’s equation (PNLSE) is considered, which has many implications in various fields such as ferromagnetic material, nonlinear optics, and optical fibers.
Nasir Ullah   +3 more
doaj   +1 more source

New solitary wave and multiple soliton solutions for fifth order nonlinear evolution equation with time variable coefficients

open access: yesResults in Physics, 2018
In this paper, we investigate the multiple soliton solutions and multiple singular soliton solutions of a class of the fifth order nonlinear evolution equation with variable coefficients of t using the simplified bilinear method based on a transformation
H.M. Jaradat   +4 more
doaj   +1 more source

Eigenvalue Spectrum of a Dirac Particle in Static and Spherical Complex Potential

open access: yes, 2003
It has been observed that a quantum theory need not to be Hermitian to have a real spectrum. We study the non-Hermitian relativistic quantum theories for many complex potentials, and we obtain the real relativistic energy eigenvalues and corresponding ...
Saaidi, Khaled
core   +2 more sources

Increased Performance of Matsubara space calculations: A case study within Eliashberg theory

open access: yes, 2019
We present a method to considerably improve the numerical performance for solving Eliashberg-type coupled equations on the imaginary axis. Instead of the standard practice of introducing a hard numerical cutoff for treating the infinite summations ...
Aperis, Alex   +2 more
core   +1 more source

Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models

open access: yes, 2011
In this article we demonstrate a recently developed technique which addresses the problem of obtaining non-universal prefactors of the correlation functions of 1D systems at zero temperature.
A. A. Abrikosov   +25 more
core   +1 more source

Construction of optical solitary wave solutions and their propagation for Kuralay system using tanh-coth and energy balance method

open access: yesResults in Physics
In this article, we study the complex coupled Kuralay system (CKS), which have many applications in different field such as ferromagnetic material and fiber optics.
Sajid Ali   +4 more
doaj   +1 more source

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