Takayuki Tsuchida's Home Page
Papers
available from
arXiv.org
Talks
Soliton solutions to integrable lattices of the derivative NLS type
, The Fifth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory (The University of Georgia, Georgia, April 2007),
abstract
Exact solutions of the potential derivative nonlinear Schrödinger equation
, The 7th AIMS Conference on Dynamical Systems and Differential Equations (University of Texas at Arlington, Texas, May 2008)
Integrability of vector derivative NLS-type systems
, Nonlinear Physics: Theory and Experiment V (Gallipoli, Italy, June 2008)
Time discretizations of integrable lattices: local equations of motion
, NEEDS 2009 Workshop ``Nonlinear Evolution Equations and Dynamical Systems'' (Sardinia, Italy, May 2009)
A systematic method for generating new integrable systems via inverse Miura maps
, 7th International Conference on Differential Equations and Dynamical Systems (University of South Florida, Florida, December 2010)
Some unpublished results
A refined and unified version of the inverse scattering method for the Ablowitz-Ladik lattice and derivative NLS lattices
Exact solutions of multicomponent nonlinear Schrödinger equations under general plane-wave boundary conditions
On a new integrable discretization of the derivative nonlinear Schrödinger (Chen-Lee-Liu) equation
Integrable discretization of the vector/matrix nonlinear Schrödinger equation and the associated Yang-Baxter map
Multisoliton solutions of the vector nonlinear Schrödinger equation (Kulish-Sklyanin model) and the vector mKdV equation
Integrability of a discrete Yajima-Oikawa system
On a new integrable generalization of the Toda lattice and a discrete Yajima-Oikawa system