Quad-equations and auto-B\"acklund transformations of NLS-type systems
Treating an integrable quad-equation along with its two generalised symmetries as a compatible system allows one to construct an auto-B\"acklund transformation for solutions of the related NLS-type system. A fixed periodic reduction of the quad-equation yields a quasi-periodic reduction of its...
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| creator | Demskoi, Dmitry K |
| description | Treating an integrable quad-equation along with its two generalised
symmetries as a compatible system allows one to construct an auto-B\"acklund
transformation for solutions of the related NLS-type system. A fixed periodic
reduction of the quad-equation yields a quasi-periodic reduction of its
generalised symmetries that turn them into differential constraints compatible
with the NLS-type system. |
| doi_str_mv | 10.48550/arxiv.1310.5769 |
| format | Article |
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symmetries as a compatible system allows one to construct an auto-B\"acklund
transformation for solutions of the related NLS-type system. A fixed periodic
reduction of the quad-equation yields a quasi-periodic reduction of its
generalised symmetries that turn them into differential constraints compatible
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symmetries as a compatible system allows one to construct an auto-B\"acklund
transformation for solutions of the related NLS-type system. A fixed periodic
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generalised symmetries that turn them into differential constraints compatible
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symmetries as a compatible system allows one to construct an auto-B\"acklund
transformation for solutions of the related NLS-type system. A fixed periodic
reduction of the quad-equation yields a quasi-periodic reduction of its
generalised symmetries that turn them into differential constraints compatible
with the NLS-type system.</abstract><doi>10.48550/arxiv.1310.5769</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Exactly Solvable and Integrable Systems |
| title | Quad-equations and auto-B\"acklund transformations of NLS-type systems |
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