New type of exact solutions to the generalized Ashkin-Teller model and anisotropic Ising model with spin 3/2

JETP Letters ◽  
2003 ◽  
Vol 78 (1) ◽  
pp. 34-37 ◽  
Author(s):  
V. M. Rozenbaum
Keyword(s):  
Ising Model ◽  
Exact Solutions ◽  
New Type

Exact solutions for Ising-model odd-number correlations on planar lattices

1991 ◽  
Vol 44 (6) ◽  
pp. 2595-2608 ◽  
Author(s):  
J. H. Barry ◽  
T. Tanaka ◽  
M. Khatun ◽  
C. H. Múnera
Keyword(s):  
Ising Model ◽  
Exact Solutions ◽  
Planar Lattices

Exact Solutions and Localized Excitations of Burgers System in (3+1) Dimensions

2011 ◽  
Vol 66 (6-7) ◽  
pp. 383-391 ◽  
Author(s):  
Chun-Long Zheng ◽  
Hai-Ping Zhu
Keyword(s):  
Linear System ◽  
Exact Solutions ◽  
The Novel ◽  
Variable Separation ◽  
Linear Superposition ◽  
Localized Excitations ◽  
New Type ◽  
Superposition Theorem ◽  
Burgers System

With the help of a Cole-Hopf transformation, the nonlinear Burgers system in (3+1) dimensions is reduced to a linear system. Then by means of the linear superposition theorem, a general variable separation solution to the Burgers system is obtained. Finally, based on the derived solution, a new type of localized structure, i.e., a solitonic bubble is revealed and some evolutional properties of the novel localized structure are briefly discussed

The Homotopy-Perturbation Method for Solving Klein-Gordon-Type Equations with Unbounded Right- Hand Side

2009 ◽  
Vol 64 (1-2) ◽  
pp. 149-152 ◽  
Author(s):  
Afgan Aslanov
Keyword(s):  
Perturbation Method ◽  
Exact Solutions ◽  
Homotopy Perturbation Method ◽  
Initial Conditions ◽  
Homotopy Perturbation ◽  
Right Hand ◽  
Klein Gordon ◽  
New Type ◽  
Solvable Problems

The approximate and/or exact solutions of the generalized Klein-Gordon- and sine-Gordon-type equations are obtained. We introduce a new type of initial conditions to extend the class of solvable problems

A new type of decoupling approximation for ising model with spin 1/2

1984 ◽  
Vol 54 (3) ◽  
pp. 241-245 ◽  
Author(s):  
E. F. Sarmento ◽  
I. Tamura ◽  
T. Kaneyoshi
Keyword(s):  
Ising Model ◽  
New Type ◽  
Decoupling Approximation

Kinetic Ising model: Some exact solutions

1982 ◽  
Vol 88 (7) ◽  
pp. 375-378 ◽  
Author(s):  
E. Bosco ◽  
S.K. Rangarajan
Keyword(s):  
Ising Model ◽  
Exact Solutions ◽  
Kinetic Ising Model

scholarly journals Determination of paramagnetic and ferromagnetic phases of an Ising model on a third-order Cayley tree

2021 ◽  
Vol 24 (1) ◽  
pp. 13001
Author(s):  
H. Akιn
Keyword(s):  
Ising Model ◽  
Exact Solutions ◽  
Cayley Tree ◽  
Numerical Results ◽  
Coupling Constants ◽  
Partition Functions ◽  
Third Order ◽  
Recurrence Equations ◽  
Appl Math

In this present paper, the recurrence equations of an Ising model with three coupling constants on a third-order Cayley tree are obtained. Paramagnetic and ferromagnetic phases associated with the Ising model are characterized. Types of phases and partition functions corresponding to the model are rigorously studied. Exact solutions of the mentioned model are compared with the numerical results given in Ganikhodjaev et al. [J. Concr. Appl. Math., 2011, 9, No. 1, 26-34].

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