Multi-soliton solutions to the Thirring model through the reduction method

D. David; J. Harnad; S. Shnider

doi:10.1007/bf00420038

Multi-soliton solutions to the Thirring model through the reduction method

D. David, J. Harnad, S. Shnider

University of Montreal

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

It is shown how the reduction method applied to a 2×2 Zakharov-Shabat system with appropriate meromorphic structure leads to the Thirring model as integrability conditions. Reducing the generic soliton-generating multi-Bäcklund transformations, the general multi-soliton solutions are explicitly derived.

Original language	English
Pages (from-to)	27-37
Number of pages	11
Journal	Letters in Mathematical Physics
Volume	8
Issue number	1
DOIs	https://doi.org/10.1007/bf00420038
State	Published - Jan 1984
Externally published	Yes

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abstract = "It is shown how the reduction method applied to a 2×2 Zakharov-Shabat system with appropriate meromorphic structure leads to the Thirring model as integrability conditions. Reducing the generic soliton-generating multi-B{\"a}cklund transformations, the general multi-soliton solutions are explicitly derived.",

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Multi-soliton solutions to the Thirring model through the reduction method

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