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Families of Integrable Equations
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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Families of Integrable Equations
Інший ID:
2010 Mathematics Subject Classification: 82B20; 37K35; 39A05
http://dx.doi.org/10.3842/SIGMA.2011.100
http://dx.doi.org/10.3842/SIGMA.2011.100
Посилання:
Families of Integrable Equations / P. Kassotakis, M. Nieszporski // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 33 назв. — англ.
Підтримка:
This paper is a contribution to the Proceedings of the Conference “Symmetries and Integrability of Difference Equations (SIDE-9)” (June 14–18, 2010, Varna, Bulgaria). The full collection is available at http://www.emis.de/journals/SIGMA/SIDE-9.html.
We would like to thank organizers of SIDE-9 conference in Varna for their hospitality and
financial support. Special thanks to Georgi Grahovski for showing us the other side of Varna. M.N. thanks Frank Nijhof f for pointing papers [20, 21].
Дата:
2011
Переглядів:
621
Завантажень:
277
Анотація:
We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.
