Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Kouichi Toda"'
Autor:
Tadashi Kobayashi, Kouichi Toda
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 2, p 063 (2006)
The general KdV equation (gKdV) derived by T. Chou is one of the famous (1 + 1) dimensional soliton equations with variable coefficients. It is well-known that the gKdV equation is integrable. In this paper a higher-dimensional gKdV equation, which i
Externí odkaz:
https://doaj.org/article/9c4d97afb0304226bda9908e57cca13d
Publikováno v:
Geometry, Integrability and Quantization. :188-198
Noncommutative phase space of arbitrary dimension is discussed. We introduce momentum-momentum noncommutativity in addition to co-ordinate-coordinate noncommutativity. We find an exact form for the linear transformation which relates a noncommutative
Autor:
Yukito Koike, Atsushi Nakamula, Akihiro Nishie, Kiori Obuse, Nobuyuki Sawado, Yamato Suda, Kouichi Toda
Localized soliton-like solutions to a $(2+1)$-dimensional hydro-dynamical evolution equation are studied numerically. The equation is so-called Williams-Yamagata-Flierl equation, which governs geostrophic fluid in a certain parameter range. Although
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27c1d228a50b1bf87cfcaac2d345447e
Publikováno v:
Publications of The Korean Astronomical Society. 30:749-751
We here report on the outreach activity using the Keio University Internet telescope performed by Science agora 2012 and 2013 in Tokyo. Many visitors came to our booth and operated the Keio University Internet telescope, and our project was awarded t
Publikováno v:
Physics Letters B. 703:498-503
A new numerical method for performing the Nahm transform for charge $k=2$ caloron is presented. The Weyl equations with boundary impurities are solved directly and the determination of the appropriate basis to the linear system is established. The ac
Autor:
Tadashi Kobayashi, Kouichi Toda
Publikováno v:
JSIAM Letters. 3:85-88
Publikováno v:
International Journal of Modern Physics A. 24:1497-1500
We investigate a fermionic O(3) σ model in 2+1 dimensions, taking into account the valence and the Casimir energies. The model exhibits the soliton solutions with various winding numbers. Lagrangian, which we used above, is extended into 6 dimension
Autor:
Masashi Hamanaka, Kouichi Toda
Publikováno v:
Journal of Physics A: Mathematical and General. 36:11981-11998
We present a noncommutative version of the Burgers equation which possesses the Lax representation and discuss the integrability in detail. We find a noncommutative version of the Cole-Hopf transformation and succeed in the linearization of it. The l
Autor:
Kouichi Toda, Song-Ju Yu
Publikováno v:
Reports on Mathematical Physics. 48:255-262
The Calogero—Degasperis—Fokas (CDF) equation is a (1 + 1)-dimensional integrable equation. We extend the CDF equation to (2+1) dimensions by a dimensional extension of the Lax pair. As a result, the higher-dimensional CDF equation and another hig
Autor:
Kouichi Toda, Song-Ju Yu
Publikováno v:
Inverse Problems. 17:1053-1060
A typical and effective way of constructing a higher-dimensional integrable equation is to extend the Lax pair for a (1 + 1)-dimensional equation which is integrable to higher dimensions. Here we apply this extension by Calogero et al to the Schwarz