Zobrazeno 1 - 10
of 107
pro vyhledávání: '"J C, Nimmo"'
We present exact soliton solutions of anti-self-dual Yang-Mills equations for G=GL(N) on noncommutative Euclidean spaces in four-dimension by using the Darboux transformations. Generated solutions are represented by quasideterminants of Wronski matri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3308c532a35b64de62ced605670a4003
https://eprints.gla.ac.uk/220639/7/220639.pdf
https://eprints.gla.ac.uk/220639/7/220639.pdf
We solve the direct scattering problem for the ultradiscrete Korteweg de Vries (udKdV) equation, over $\mathbb R$ for any potential with compact (finite) support, by explicitly constructing bound state and non-bound state eigenfunctions. We then show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88069a6177bab607bb715944ac222148
http://arxiv.org/abs/1903.07315
http://arxiv.org/abs/1903.07315
Autor:
Jonathan J C Nimmo, Halis Yilmaz
Publikováno v:
Journal of Nonlinear Mathematical Physics. 21:278
We consider Darboux transformations for the derivative nonlinear Schr\"odinger equation. A new theorem for Darboux transformations of operators with no derivative term are presented and proved. The solution is expressed in quasideterminant forms. Add
Publikováno v:
Physics Letters A. 379:3075-3083
In our previous work (C.X. Li and J.J.C. Nimmo, 2009 [18]), we presented a generalized type of Darboux transformations in terms of a twisted derivation in a unified form. The twisted derivation includes ordinary derivatives, forward difference operat
Publikováno v:
Journal of Integrable Systems. 3
Kuniba, Okado, Takagi and Yamada have found that the time-evolution of the Takahashi-Satsuma box-ball system can be linearized by considering rigged configurations associated with states of the box-ball system. We introduce a simple way to understand
The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations and binary Darboux transfo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::993581f4cf48c3f776bdfec66935bf31
http://dspace.nbuv.gov.ua/handle/123456789/148634
http://dspace.nbuv.gov.ua/handle/123456789/148634
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 466:2117-2136
A Painlevé II model derived out of the classical Nernst–Planck system is applied in the context of boundary value problems that describe the electric field distribution in a regionx>0 occupied by an electrolyte. For privileged flux ratios of the i
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 465:2613-2632
We present Backlund transformations for the noncommutative anti-self-dual Yang-Mills equation where the gauge group is G=GL(2) and use it to generate a series of exact solutions from a simple seed solution. The solutions generated by this approach ar
Publikováno v:
Glasgow Mathematical Journal. 51:107-119
We present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise
Publikováno v:
GLASGOW MATHEMATICAL JOURNAL. :83-93
We present Backlund transformations for the noncommutative anti-self-dual Yang-Mills equation where the gauge group is G=GL(2) and use it to generate a series of exact solutions from a simple seed solution. The solutions generated by this approach ar