scholarly journals On Exact Solution of a Classical 3D Integrable Model

2000 ◽  
Vol 7 (1) ◽  
pp. 57-72 ◽  
Author(s):  
S.M. Sergeev
Keyword(s):  
Exact Solution ◽  
Integrable Model

scholarly journals INTEGRABLE COUPLING IN A MODEL FOR JOSEPHSON TUNNELING BETWEEN NON-IDENTICAL BCS SYSTEMS

2002 ◽  
Vol 16 (14n15) ◽  
pp. 2009-2015 ◽  
Author(s):  
JON LINKS ◽  
KATRINA E. HIBBERD
Keyword(s):  
Exact Solution ◽  
Bethe Ansatz ◽  
Single Particle ◽  
Energy Levels ◽  
Integrable Model ◽  
Particle Energy ◽  
Single Particle Energy ◽  
Generalized Model ◽  
Josephson Tunneling ◽  
Integrable Coupling

We extend a recent construction for an integrable model describing Josephson tunneling between identical BCS systems to the case where the BCS systems have different single particle energy levels. The exact solution of this generalized model is obtained through the Bethe ansatz.

Exact solution of a four-site crystal model for an intermediate-valence system

1986 ◽  
Vol 47 (6) ◽  
pp. 1029-1034 ◽  
Author(s):  
J.C. Parlebas ◽  
R.H. Victora ◽  
L.M. Falicov
Keyword(s):  
Exact Solution ◽  
Intermediate Valence ◽  
Crystal Model

Unsteady Exact Solution for Flows of Fluids with Pressure-Dependent Viscosities

2006 ◽  
Vol 106 (2) ◽  
pp. 115-130 ◽  
Author(s):  
K. R. Rajagopal ◽  
G. Saccomandi
Keyword(s):  
Exact Solution

TEST-CASE NO 34: TWO-DIMENSIONAL SLOSHING IN CAVITY - AN EXACT SOLUTION (PA)

2004 ◽  
Vol 16 (1-3) ◽  
pp. 251-257
Author(s):  
J.-L. Estivalezes ◽  
G. Chanteperdrix
Keyword(s):  
Exact Solution ◽  
Test Case ◽  
Two Dimensional

Difference Schemes for Nonlinear BVPS on the Semiaxis

2007 ◽  
Vol 7 (1) ◽  
pp. 25-47 ◽  
Author(s):  
I.P. Gavrilyuk ◽  
M. Hermann ◽  
M.V. Kutniv ◽  
V.L. Makarov
Keyword(s):  
Differential Equation ◽  
Exact Solution ◽  
Boundary Value Problem ◽  
Difference Scheme ◽  
Adaptive Algorithm ◽  
Order Differential Equation ◽  
Constructive Method ◽  
Numerical Examples ◽  
Exact Difference ◽  
The Given

Abstract The scalar boundary value problem (BVP) for a nonlinear second order differential equation on the semiaxis is considered. Under some natural assumptions it is shown that on an arbitrary finite grid there exists a unique three-point exact difference scheme (EDS), i.e., a difference scheme whose solution coincides with the projection of the exact solution of the given differential equation onto the underlying grid. A constructive method is proposed to derive from the EDS a so-called truncated difference scheme (n-TDS) of rank n, where n is a freely selectable natural number. The n-TDS is the basis for a new adaptive algorithm which has all the advantages known from the modern IVP-solvers. Numerical examples are given which illustrate the theorems presented in the paper and demonstrate the reliability of the new algorithm.

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