The Classical massive Thirring system revisited

Enolsky, V.Z.; Gesztesy, F.; Holden, H.

The Classical massive Thirring system revisited

V.Z. Enolsky
(
- Kiev, Inst. Metal Phys.
)
,
F. Gesztesy
(
- Missouri U., Math. Dept.
)
,
H. Holden
(
- Norwegian U. Sci. Tech.
)

Apr, 2000

34 pages

e-Print:

nlin/0004008 [nlin.SI]

View in:

ADS Abstract Service

pdf

reference search0 citations

Citations per year

0 Citations

Abstract:

We provide a complete treatment of algebro-geometric solutions of the classical massive Thirring system. In particular, we study Dubrovin-type equations for auxiliary divisors, consider the corresponding algebro-geometric initial value problem, and derive the theta function representations of algebro-geometric solutions of the Thirring system.

Thirring model: massive
field theory: classical
dimension: 2
field equations: solution
geometry: algebra
analytic properties

References(31)

Figures(0)

SOLITON CLASSICAL DYNAMICS IN THE SINE-GORDON EQUATION IN TERMS OF THE MASSIVE THIRRING MODEL

L. Martinez Alonso
(
- Madrid U.
)

- Phys.Rev.D 30 (1984) 2595-2601,
- Phys. Rev. D30 ( 1984) 2595-2601
•
DOI:
- 10.1103/PhysRevD.30.2595

Multi - Soliton Solutions in the Scheme for Unified Description of Integrable Relativistic Massive Fields. Nondegenerate Sl(2,c) Case

I.V. Barashenkov
(
- Dubna, JINR
)
,
B.S. Getmanov
(
- Dubna, JINR
)

- Commun.Math.Phys. 112 (1987) 423-446,
- Commun. Math. Phys. 112 ( 1987) 423-446 and Dubna Jinr - 86-628 (86,REC.JAN.87) 34p
•
DOI:
- 10.1007/BF01218485

The Unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. 1

- J.Math.Phys. 34 (1993) 3039-3053
•
DOI:
- 10.1063/1.530403

The Unified approach to integrable relativistic equations: Soliton solutions over nonvanishing backgrounds. 2

I.V. Barashenkov
(
- ICTP, Trieste
)
,
B.S. Getmanov
(
- Dubna, JINR
)

- J.Math.Phys. 34 (1993) 3054-3072
•
DOI:
- 10.1063/1.530062

FINITE GAP SOLUTIONS OF THE MASSIVE THIRRING MODEL

R.F. Bikbaev
(
- St. Petersburg State U.
)

- Theor.Math.Phys. 63 (1985) 577-584,
- Teor.Mat.Fiz. 63 (1985) 377-387,
- Teor. Mat. Fiz. 63 ( 1985) 377-387
•
DOI:
- 10.1007/BF01017503

- Mem.Am.Math.Soc. 135 1

- Fortsch.Phys. 36 939

On Quasiperiodic Solutions of the Field Equation of the Classical Massive Thirring Model

E. Date
(
- Osaka U.
)

- Prog.Theor.Phys. 59 (1978) 265-273
•
DOI:
- 10.1143/PTP.59.265

- Proc.Japan Acad. 55 278

- Osaka J.Math. 19 125

MULTI - SOLITON SOLUTIONS TO THE THIRRING MODEL THROUGH THE REDUCTION METHOD

- Lett.Math.Phys. 8 (1984) 27
•
DOI:
- 10.1007/BF00420038

- Math.Nachr. 198 51

- Rev.Math.Phys. 11 823

- Rev.Math.Phys. 10 345

The Squared eigenfunctions of the massive Thirring model in laboratory coordinates

D.J. Kaup
(
- Clarkson U.
)
,
T.I Lakoba
(
- Clarkson U.
)

- J.Math.Phys. 37 (1996) 308-323
•
DOI:
- 10.1063/1.531392

On the Coleman Correspondence and the Soliton of the Massive Thirring Model

D.J. Kaup
(
- Clarkson U.
)
,
A.C. Newell
(
- Clarkson U.
)

- Lett.Nuovo Cim. 20 (1977) 325-331
•
DOI:
- 10.1007/BF02783605

INVERSE SCATTERING METHOD FOR THE TWO-DIMENSIONAL MASSIVE THIRRING MODEL

- J.Phys.Soc.Jap. 47 (1979) 1327-1334
•
DOI:
- 10.1143/JPSJ.47.1327

- Theor.Math.Phys. 30 193

Solvability of the derivative nonlinear Schrodinger equation and the massive Thirring model

Jyh-Hao Lee
(
- Taiwan, Inst. Phys.
)

- Theor.Math.Phys. 99 (1994) 617-621,
- Teor.Mat.Fiz. 99 (1994) 322-328
•
DOI:
- 10.1007/BF01016148

- Acta Mat. 111 37

- JETP Lett. 23 320

THE DERIVATIVE NONLINEAR SCHRODINGER EQUATION AND THE MASSIVE THIRRING MODEL

- Phys.Lett.A 93 (1983) 455-458
•
DOI:
- 10.1016/0375-9601(83)90629-1

Geometric Structure and Backlund Transformations of Nonlinear Evolution Equations

A.K. Prikarpatsky
(
- BITP, Kiev
)

- Theor.Math.Phys. 46 (1981) 249-256,
- Teor.Mat.Fiz. 46 (1981) 382-393,
- Teor. Mat. Fiz. 46 ( 1981) 382-393,
- Kiev Inst. Theor. Phys. Acad. Sci. - ITF-80-045 (80,REC.JUL.) 17 P. (007455
•
DOI:
- 10.1007/BF01032735

- Ukr.Math.J. 31 362

HAMILTONIAN STRUCTURE OF 'THIRRING X LIOUVILLE' MODEL

S.V. Talalov
(
- Samara State U.
)

- Theor.Math.Phys. 71 (1987) 588-597,
- Teor.Mat.Fiz. 71 (1987) 357-369
•
DOI:
- 10.1007/BF01017091

1-25 of 31
1
2
25 / page