Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations

Complete integrability and stochastization of discrete dynamical systems

S. V. Manakov · Journal of Experimental and Theoretical Physics · 1974 · 211 citations

Discrete Dynamical System, Complete Integrability, Discrete Dynamic +1

The integration of semi-infinite toda chain by means of inverse spectral problem

Yu.M. Berezanski · Reports on Mathematical Physics · 1986 · 70 citations

Spectral Theory, Inverse Spectral Problem, Engineering +6

The nonabelian Toda lattice: Discrete analogue of the matrix Schrödinger spectral problem

M. Bruschi, S. V. Manakov, O. Ragnisco et al. · Journal of Mathematical Physics · 1980 · 69 citations

Spectral Theory, Quantum Science, Quantum Lattice System +13

Toda flows with infinitely many variables

Percy Deift, L.-C. Li, Carlos Tomei · Journal of Functional Analysis · 1985 · 55 citations

Infinite Dimensional Problem, Integrable System, Discrete Integrable System +1

Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem

Yu. M. Berezanskiĭ, M. Gekhtman, Michael Shmoish · Ukrainian Mathematical Journal · 1986 · 31 citations

Numerical Analysis, Spectral Theory, Nonlinear Difference Equations +8