Yang-Baxter maps from the discrete BKP equation.
Kakei, Saburo, Nimmo, Jonathan J.C., Willox, Ralph (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Kakei, Saburo, Nimmo, Jonathan J.C., Willox, Ralph (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Aratyn, Henrik, van de Leur, Johan (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Ito, Masahiko (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Yordanov, Russi (1998)
Serdica Mathematical Journal
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Dubrovin type equations for the N -gap solution of a completely integrable system associated with a polynomial pencil is constructed and then integrated to a system of functional equations. The approach used to derive those results is a generalization of the familiar process of finding the 1-soliton (1-gap) solution by integrating the ODE obtained from the soliton equation via the substitution u = u(x + λt).
Domańska, G., Lavrenyuk, S. (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Gusejnov, I.M., Nabiev, A.A., Pashaev, R.T. (2000)
Siberian Mathematical Journal
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Nedeljkov, Marko (2001)
Novi Sad Journal of Mathematics
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He, Jingsong, Li, Yinghua, Cheng, Yi (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Dairbekov, N. S. (2000)
Sibirskij Matematicheskij Zhurnal
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Dariusz Idczak (1996)
Banach Center Publications
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In the paper, the generalization of the Du Bois-Reymond lemma for functions of two variables to the case of partial derivatives of any order is proved. Some application of this theorem to the coercive Dirichlet problem is given.
Olteanu, Octav (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Boca, Florin P. (2010)
The New York Journal of Mathematics [electronic only]
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