On a direct construction of inverse scattering problems for integrable nonlinear evolution equations in the two-spatial dimension.
On a family of operators and their Lie algebras.
On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation.
On a nonlocal Ostrovsky-Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability.
On an infinite sequence of invariant measures for the cubic nonlinear Schrödinger equation.
On approximation of solutions to some -dimensional integrable systems by Bäcklund transformations.
On asymptotic stability of solitary waves for nonlinear Schrödinger equations
On classical series expansions for quasi-periodic motions.
On commuting differential operators.
On commuting matrix differential operators.
On conservation laws in affine Toda systems.
On dissipative phenomena of the interaction of Hamiltonian systems.
On foundations of the Conley index theory
The Conley index theory was introduced by Charles C. Conley (1933-1984) in [C1] and a major part of the foundations of the theory was developed in Ph. D. theses of his students, see for example [Ch, Ku, Mon]. The Conley index associates the homotopy type of some pointed space to an isolated invariant set of a flow, just as the fixed point index associates an integer number to an isolated set of fixed points of a continuous map. Examples of isolated invariant sets arise naturally in the critical...
On integrability of a special class of two-component (2+1)-dimensional hydrodynamic-type systems.
On invariant tori of nearly integrable Hamiltonian systems with quasiperiodic perturbation.
On miura transformations and Volterra-type equations associated with the adler-bobenko-suris equations.
On nonlinear equations integrable in theta-functions of nonprincipally polarized Abelian varieties.
On nonlinear Schrödinger equations
On nonlinear Schrödinger equations in exterior domains
On non-point invertible transformations of difference and differential-difference equations.