# Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory

@article{Blas2006SolitonsKA,
title={Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory},
author={H. Blas and Hector L. Carri{\'o}n},
journal={Journal of High Energy Physics},
year={2006},
volume={2007},
pages={027-027}
}
• Published 10 October 2006
• Physics
• Journal of High Energy Physics
The solitons and kinks of the generalized sl(3,) sine-Gordon (GSG) model are explicitly obtained through the hybrid of the Hirota and dressing methods in which the tau functions play an important role. The various properties are investigated, such as the potential vacuum structure, the soliton and kink solutions, and the soliton masses formulae. As a reduced submodel we obtain the double sine-Gordon model. Moreover, we provide the algebraic construction of the sl(3,) affine Toda model coupled…
18 Citations

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## References

SHOWING 1-10 OF 69 REFERENCES

Abstract.The generalized massive Thirring model (GMT) with three fermion species is bosonized in the context of the functional integral and operator formulations and shown to be equivalent to a
The generalized massive Thirring model (GMT) with $N_{f}$[=number of positive roots of $su(n)$] fermion species is bosonized in the context of the functional integral and operator formulations and
• Physics
• 2002
We consider a real Lagrangian off-critical submodel describing the soliton sector of the so-called conformal affine sl(3)(1) Toda model coupled to matter fields. The theory is treated as a
We consider the Lagrangian description of the soliton sector of the so-called affine $\hat{sl}(3)$ Toda model coupled to matter (Dirac) fields (ATM). The theory is treated as a constrained system in
• Physics
• 2005
Some properties of the non-commutative versions of the sine-Gordon model (NCSG) and the corresponding massive Thirring theories (NCMT) are studied. Our method relies on the NC extension of integrable
Some properties of the higher grading integrable generalizations of the conformal affine Toda systems are studied. The fields associated to the non-zero grade generators are Dirac spinors. The