10 citations · 39 across the 6 of their papers we have counts for
6 papers
Two Flows Kowalevski Top as the Full Genus Two Jacobi's Inversion Problem and Sp(4,) Lie Group Structure
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
By using the first and the second flows of the Kowalevski top, we can make the Kowalevski top into the two flows Kowalevski top, which has two time variales. Then we show that equa…
Differential Equations of Genus Four Hyperelliptic Functions
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
In order to find higher dimensional integrable models, we study differential equations of hyperelliptic functions up to genus four. For genus two, differential equations of h…
Elliptic Solutions for Higher Order KdV Equations
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
We study higher order KdV equations from the GL(2,) SO(2,1) Lie group point of view. We find elliptic solutions of higher order KdV equations up to the ninth or…
Common Hirota Form Bäcklund Transformation for the Unified Soliton System
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
We study to unify soliton systems, KdV/mKdV/sinh-Gordon, through SO(2,1) GL(2,) Möbius group point of view, which might be a keystone to exactly solve so…
The Static Elliptic -soliton Solutions of the KdV Equation
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
Regarding -soliton solutions, the trigonometric type, the hyperbolic type, and the exponential type solutions are well studied. While for the elliptic type solution, we know onl…
The Construction of the mKdV Cyclic Symmetric -soliton Solution by the Bäcklund Transformation
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
We study group theoretical structures of the mKdV equation. The Schwarzian type mKdV equation has the global Möbius group symmetry. The Miura transformation makes a connection betw…