265 citations
- High Energy Accelerator Research OrganizationJP12 papers
- Kyoto UniversityJP6 papers
- University of California, BerkeleyUS5 papers
- Osaka City UniversityJP4 papers
- University of California, Santa BarbaraUS4 papers
- RIKENJP3 papers
- University of TsukubaJP3 papers
- Instituto de Física TeóricaES2 papers
- Kavli Institute for Theoretical SciencesCN2 papers
- Lawrence Berkeley National LaboratoryUS2 papers
- Massachusetts Institute of TechnologyUS2 papers
- Stanford UniversityUS2 papers
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nlin.SI2011★ 8 cited
On a (2+1)-dimensional generalization of the Ablowitz-Ladik lattice and a discrete Davey-Stewartson system
Takayuki Tsuchida, Aristophanes Dimakis
We propose a natural (2+1)-dimensional generalization of the Ablowitz-Ladik lattice that is an integrable space discretization of the cubic nonlinear Schroedinger (NLS) system in 1…
nlin.SI2010★ 21 cited
Systematic method of generating new integrable systems via inverse Miura maps
Takayuki Tsuchida
We provide a new natural interpretation of the Lax representation for an integrable system; that is, the spectral problem is the linearized form of a Miura transformation between t…