Application of inverse scattering method to singular solutions of nonlinear equations. III

1984 ◽  
Vol 58 (1) ◽  
pp. 24-32 ◽  
Author(s):  
V. A. Arkad'ev
Keyword(s):  
Nonlinear Equations ◽  
Inverse Scattering ◽  
Inverse Scattering Method ◽  
Singular Solutions ◽  
Scattering Method

Singular solutions of the KdV equation and the inverse scattering method

1985 ◽  
Vol 31 (6) ◽  
pp. 3264-3279 ◽  
Author(s):  
V. A. Arkad'ev ◽  
A. K. Pogrebkov ◽  
M. K. Polivanov
Keyword(s):  
Inverse Scattering ◽  
Kdv Equation ◽  
Inverse Scattering Method ◽  
Singular Solutions ◽  
Scattering Method ◽  
The Kdv Equation

scholarly journals Integrable extended Hubbard models with boundary Kondo impurities

2001 ◽  
Vol 64 (3) ◽  
pp. 445-467
Author(s):  
Anthony J. Bracken ◽  
Xiang-Yu Ge ◽  
Mark D. Gould ◽  
Huan-Qiang Zhou
Keyword(s):  
Hilbert Space ◽  
Bethe Ansatz ◽  
Inverse Scattering ◽  
Magnetic Moments ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Ansatz Method ◽  
One Dimensional ◽  
Hubbard Models ◽  
Kondo Impurities

Three kinds of integrable Kondo impurity additions to one-dimensional q-deformed extended Hubbard models are studied by means of the boundary Z2-graded quantum inverse scattering method. The boundary K matrices depending on the local magnetic moments of the impurities are presented as nontrivial realisations of the reflection equation algebras in an impurity Hilbert space. The models are solved by using the algebraic Bethe ansatz method, and the Bethe ansatz equations are obtained.

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