63 citations · 115 across the 2 of their papers we have counts for
5 papers
Classification of polynomial integrable systems of mixed scalar and vector evolution equations. I
Takayuki Tsuchida, Thomas Wolf
We perform a classification of integrable systems of mixed scalar and vector evolution equations with respect to higher symmetries. We consider polynomial systems that are homogene…
N-soliton collision in the Manakov model
Takayuki Tsuchida
We investigate soliton collisions in the Manakov model, which is a system of coupled nonlinear Schroedinger equations that is integrable via the inverse scattering method. Computin…
Symmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability
S. Yu. Sakovich, Takayuki Tsuchida
The integrability of a system of two symmetrically coupled higher-order nonlinear Schrödinger equations with parameter coefficients is tested by means of the singularity analysis.…
A new integrable system of symmetrically coupled derivative nonlinear Schroedinger equations via the singularity analysis
S. Yu. Sakovich, Takayuki Tsuchida
A new integrable system of two symmetrically coupled derivative nonlinear Schroedinger equations is detected by means of the singularity analysis. A nonlinear transformation is pro…
Coupled higher-order nonlinear Schroedinger equations: a new integrable case via the singularity analysis
S. Yu. Sakovich, Takayuki Tsuchida
A new system of coupled higher-order nonlinear Schroedinger equations is proposed which passes the Painleve test for integrability well. A Lax pair and a multi-field generalization…