BINARY DARBOUX TRANSFORMATION FOR THE SUPERSYMMETRIC PRINCIPAL CHIRAL FIELD MODEL

We present form factors for a wide range of integrable models which include marginal perturbations of the SU(2) WZNZ model for arbitrary central charge and the principal chiral field model. The interesting structure of these form factors is discussed.

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Form Factors for Principal Chiral Field Model with Wess–Zumino–Novikov–Witten Term

International Journal of Modern Physics A ◽

10.1142/s0217751x97001778 ◽

1997 ◽

Vol 12 (19) ◽

pp. 3383-3395 ◽

Cited By ~ 12

Author(s):

P. Mejean ◽

F. A. Smirnov

Keyword(s):

Ising Model ◽

Field Model ◽

Energy Momentum Tensor ◽

Form Factors ◽

Momentum Tensor ◽

Chiral Field ◽

Principal Chiral Field ◽

Level 1

We construct the form factors of the trace of energy–momentum tensor for the massless model described by SU(2) principal chiral field model with WZNW term on level 1. We explain how this construction can be generalized to a class of integrable massless models including the flow from tricritical to critical Ising model. From F. Smirnov. During several months I worked with Pierre Mejean. After his premature decease which deeply affected everybody who knew him I decided to collect and to publish the results which we obtained together.

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BINARY DARBOUX TRANSFORMATION AND QUASIDETERMINANT SOLUTIONS OF THE CHIRAL FIELD

Journal of Nonlinear Mathematical Physics ◽

10.1142/s1402925111001465 ◽

2011 ◽

Vol 18 (2) ◽

pp. 299-321 ◽

Cited By ~ 2

Author(s):

BUSHRA HAIDER ◽

M. HASSAN ◽

U. SALEEM

Keyword(s):

Darboux Transformation ◽

Chiral Field ◽

Binary Darboux Transformation

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Determinant Representation of Binary Darboux Transformation for the AKNS Equation

Zeitschrift für Naturforschung A ◽

10.1515/zna-2015-0407 ◽

2015 ◽

Vol 70 (12) ◽

pp. 1039-1048 ◽

Cited By ~ 3

Author(s):

Jing Yu ◽

Jingwei Han ◽

Jingsong He

Keyword(s):

Darboux Transformation ◽

Darboux Transformations ◽

Nls Equation ◽

Reduction Condition ◽

Nonlinear Schrödinger ◽

Determinant Representation ◽

Akns Equation ◽

New Form ◽

Binary Darboux Transformation

AbstractIn this paper, the determinant representation of the n-fold binary Darboux transformation, which is a 2×2 matrix, for the Ablowitz–Kaup–Newell–Segur equation is constructed. In this 2×2 matrix, each element is expressed by (2n+1)-order determinants. When the reduction condition r=–q̅ is considered, we obtain one of binary Darboux transformations for the nonlinear Schrödinger (NLS) equation. As its applications, several solutions are constructed for the NLS equation. Especially, a new form of two-soliton is given explicitly.

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Bound-state solitons for a non-linear Schrödinger system with the negatively coherent coupling in a weakly birefringent fiber

Modern Physics Letters B ◽

10.1142/s0217984920504230 ◽

2020 ◽

Vol 34 (36) ◽

pp. 2050423

Author(s):

Jie Zhang ◽

Bo Tian ◽

Qi-Xing Qu ◽

Chen-Rong Zhang ◽

Xia-Xia Du ◽

...

Keyword(s):

Darboux Transformation ◽

Bound State ◽

Optical Pulses ◽

Coherent Coupling ◽

Non Linear ◽

Optical Modes ◽

Binary Darboux Transformation ◽

Birefringent Fiber ◽

Schrödinger System

In this paper, we study a non-linear Schrödinger system with the negatively coherent coupling in a weakly birefringent fiber for two orthogonally polarized optical pulses. With respect to the slowly-varying envelopes of two interacting optical modes and based on the existing binary Darboux transformation, we obtain four types of the bound-state solitons: degenerate-I, degenerate-II, degenerate–non-degenerate, and non-degenerate–non-degenerate bound-state solitons. We graphically analyze the interactions between the degenerate or non-degenerate solitons and four types of the bound-state solitons. When the degenerate solitons interact with the bound-state solitons, amplitudes and widths of the degenerate solitons remain unchanged. When the non-degenerate solitons interact with the bound-state solitons, amplitudes and widths of the bound-state solitons remain unchanged.

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