Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Nobutaka Nakazono"'
Autor:
Nobutaka Nakazono
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 084 (2010)
We consider a q-Painlevé III equation and a q-Painlevé II equation arising from a birational representation of the affine Weyl group of type (A_2+A_1)^{(1)}. We study their hypergeometric solutions on the level of τ functions.
Externí odkaz:
https://doaj.org/article/5a8db3532e8e4f18a67761079561daa5
Autor:
Nobutaka Nakazono
Publikováno v:
Applied Numerical Mathematics.
It has been unknown whether Hirota's discrete Korteweg-de Vries equation and the lattice sine-Gordon equation have the consistency around a cube (CAC) property. In this paper, we show that they have the CAC property. Moreover, we also show that they
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1f94fafdaf1fd31a932ebc6ad977531
https://doi.org/10.1016/j.apnum.2023.05.018
https://doi.org/10.1016/j.apnum.2023.05.018
Autor:
Nobutaka Nakazono, Nalini Joshi
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 8:320-335
In this paper, we consider a reduction of a new system of partial difference equations, which was obtained in our previous paper (Joshi and Nakazono, arXiv:1906.06650) and shown to be consistent around a cuboctahedron. We show that this system reduce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8de504e4274bbce554037b5cda0d8b3a
https://doi.org/10.1090/bproc/96
https://doi.org/10.1090/bproc/96
Autor:
Nobutaka Nakazono, Nalini Joshi
Publikováno v:
Studies in Applied Mathematics. 147:1409-1424
Hirota's discrete Korteweg-de Vries equation (dKdV) is an integrable partial difference equation on 2-dimensional integer lattice, which approaches the Korteweg-de Vries equation in a continuum limit. We find new transformations to other equations, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::477c149d06f4562e0e8906b990142748
https://doi.org/10.1111/sapm.12421
https://doi.org/10.1111/sapm.12421
Autor:
Nobutaka Nakazono
The lattice sine-Gordon equation is an integrable partial difference equation on ${\mathbb Z}^2$, which approaches the sine-Gordon equation in a continuum limit. In this paper, we show that the non-autonomous lattice sine-Gordon equation has the cons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e4f15fb8ca8e4d00e0c2642d6aa3e52
http://arxiv.org/abs/2201.11264
http://arxiv.org/abs/2201.11264
Autor:
Nobutaka Nakazono
Hirota's discrete KdV equation is an integrable partial difference equation on $\mathbb{Z}^2$, which approaches the Korteweg-de Vries (KdV) equation in a continuum limit. In this paper, we show that its multiplicative-discrete versions have the speci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6874e4f5b20d20bb23b438e7eed29625
http://arxiv.org/abs/2104.11433
http://arxiv.org/abs/2104.11433
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 54:335202
The discrete power function on the hexagonal lattice proposed by Bobenko et al is considered, whose defining equations consist of three cross-ratio equations and a similarity constraint. We show that the defining equations are derived from the discre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2d9a34eab7940b1b2593dffc57a666e
https://doi.org/10.1088/1751-8121/ac11bd
https://doi.org/10.1088/1751-8121/ac11bd
In this paper, we consider the discrete power function associated with the sixth Painlev\'e equation. This function is a special solution of the so-called cross-ratio equation with a similarity constraint. We show in this paper that this system is em
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6a504226ca5052333ddfc17da12a5a2
http://arxiv.org/abs/1705.00445
http://arxiv.org/abs/1705.00445
Autor:
Kenji Kajiwara, Nobutaka Nakazono
Publikováno v:
International Mathematics Research Notices. 2015:1101-1140
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6ca69bdc024f3343771052f5e5066c9
https://doi.org/10.1093/imrn/rnt237
https://doi.org/10.1093/imrn/rnt237