Results 71 to 80 of about 8,402 (164)

$A_{2}^{(2)}$ Gaudin model and its associated Knizhnik-Zamolodchikov equation

, 2004
The semiclassical limit of the algebraic Bethe Ansatz for the Izergin-Korepin 19-vertex model is used to solve the theory of Gaudin models associated with the twisted $A_{2}^{(2)}$ R-matrix.
A Lima-Santos, Abdalla E, Babujian H M, Babujian H M, Baxter R J, Belavin A A, Cherednik I, Cornwell J F, Faddeev L D, Gaudin M, Izergin A G, Jimbo M, Korepin V E, Lima-Santos A, Reshetikhin N Varchenko A, Schechtman V, Semenov-Tyan-Shanskii M A, Tarasov V O, V Kurak   +18 more
core   +1 more source

Solutions of Zhiber-Shabat and Related Equations Using a Modified tanh-coth Function Method

Journal of Applied Mathematics and Physics, 2016
The modified tanh-coth function method is used to obtain new exact travelling wave solutions for Zhiber-Shabat equation and the related equations: Liouville equation, sinh-Gordon equation, Dodd-Bullough-Mikhailov equation, and Tzitzeica-Dodd-Bullough equation.
openaire   +2 more sources

Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems

, 2018
The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations. The derivatives of the $R$ matrix elements, however, can
Vieira, R. S.
core   +2 more sources

Thermal entanglement in fully connected spin systems and its RPA description

, 2011
We examine the thermal pairwise entanglement in a symmetric system of $n$ spins fully connected through anisotropic $XYZ$-type couplings embedded in a transverse magnetic field.
J. M. Matera, M. A. Nielsen, N. Canosa, R. L. Stratonovich, R. L. Stratonovich, R. Rossignoli   +5 more
core   +1 more source

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

AIP 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, Muzammal Saleem, Muhammad Abdullah, Shahid Hasnain, Muhammad Farman, Mohamed Hafez   +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

, 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, Alford, Alford, Appelquist, Appelquist, Appelquist, Arai, Arkani-Hamed, Asakawa, Avdeev, Bailin, Bardeen, Bardeen, Binétruy, Blaschke, Bogoliubov, Buchmüller, Buchmüller, Campbell-Smith, Carena, Chen, Chivukula, Clark, Clark, Dimopoulos, Fetter, Giudice, Harnik, Hashida, Hashida, Hill, Hisano, Inagaki, Intriligator, Iwasaki, Kapusta, Klevansky, Kosterlitz, Kugo, Kunihiro, Lane, Maru, Mohapatra, Nambu, Nambu, Nambu, Nambu, Negele, Ohsaku, Ohsaku, Ohsaku, Ohsaku, Ohsaku, Pisarski, Rajagopal, Rapp, Schwarz, Schäfer, Schäfer, Shifman, Shizuya, Shovkovy, Tadafumi Ohsaku, Wess   +63 more
core   +1 more source

Optical solitons solution for the perturbed nonlinear Schrödinger’s equation

Partial 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, Aman Ullah, Sajid Ali, Shafiq Ahmad   +3 more
doaj   +1 more source

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

Results 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, Muhammed Syam, M. Jaradat, Zead Mustafa, S. Momani   +4 more
doaj   +1 more source

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

, 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

, 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, Oppeneer, Peter M., Schrodi, Fabian   +2 more
core   +1 more source