170 citations · 877 across the 28 of their papers we have counts for
28 papers
Integrable semi-discretizations of the Davey-Stewartson system and a -dimensional Yajima-Oikawa system. II
Takayuki Tsuchida
This is a continuation of our previous paper arXiv:1904.07924, which is devoted to the construction of integrable semi-discretizations of the Davey-Stewartson system and a -…
Integrable semi-discretizations of the Davey-Stewartson system and a -dimensional Yajima-Oikawa system. I
Takayuki Tsuchida
The integrable Davey-Stewartson system is a linear combination of the two elementary flows that commute: and…
On a new integrable generalization of the Toda lattice and a discrete Yajima-Oikawa system
Takayuki Tsuchida
We propose a new integrable generalization of the Toda lattice wherein the original Flaschka-Manakov variables are coupled to newly introduced dependent variables; the general case…
Integrability of a discrete Yajima-Oikawa system
Takayuki Tsuchida
A space discretization of an integrable long wave-short wave interaction model, called the Yajima-Oikawa system, was proposed in the recent paper arXiv:1509.06996 using the Hirota…
Multisoliton solutions of the vector nonlinear Schrödinger equation (Kulish-Sklyanin model) and the vector mKdV equation
Takayuki Tsuchida
There exist two natural vector generalizations of the completely integrable nonlinear Schrödinger (NLS) equation in dimensions: the well-known Manakov model and the lesser-kn…
Integrable discretization of the vector/matrix nonlinear Schrödinger equation and the associated Yang-Baxter map
Takayuki Tsuchida
The action of a Bäcklund-Darboux transformation on a spectral problem associated with a known integrable system can define a new discrete spectral problem. In this paper, we interp…