The matrix Kadomtsev--Petviashvili equation as a source of integrable nonlinear equations
The matrix Lax representation of the generalized Riemann equations and its conservation Laws
The Maupertuis principle and integrable systems
The method of Poisson pairs in the theory of nonlinear PDEs
The method of solving of nonlinear Schrödinger equation
The method of vacuum vectors in the theory of Yang - Baxter equation
The modified nonlinear Schroedinger equation: Facts and artefacts
The modified simplest equation method to look for exact solutions of nonlinear partial differential equations
The modified tetrahedron equation and its solutions
The motion of a rigid body in a quadratic potential: an integrable discretization
The motion of the 2D hydrodynamic Chaplygin sleigh in the presence of circulation
The multicomponent 2D Toda hierarchy: Discrete flows and string equations
The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann--Hilbert problems
The N-soliton solution of a two-component modified nonlinear Schrödinger equation
The N-soliton solution of the Degasperis-Procesi equation
The N=2 Supersymmetric Heavenly Equation and Its Super-Hydrodynamical Reduction
The N=2 supersymmetric unconstrained matrix GNLS hierarchies
The new integrable deformations of short pulse equation and sine-Gordon equation, and their solutions
The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations
The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2