Bäcklund transformations via gauge transformations

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1982 Italy English Publisher:Springer Science and Business Media LLCJournal:Il Nuovo Cimento B, volume 71, pages 253-264 (issn: 0369-3554, eissn: 1826-9877,

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Authors: BOITI, Marco; G. Z. Tu;

doi: 10.1007/bf02721177

handle: 11587/356878

Bäcklund transformations via gauge transformations

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Abstract

In the generalN×N case, it is explicitly shown that solvable nonlinear evolution equations (NLEE) can be equivalently obtained from a deformation generated by a gauge transformation of a spectral equation or from the consistency condition for two spectral equations. The gauge transformation of the spectral equation associated with the NLEE is used to derive the general Backlund transformation (BT) for this NLEE. Both thex-derivative part and thet-derivative part of the BT are obtained.

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Italy

Related Organizations

University of Salento
Italy
Time Université
Tunisia

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