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Abstract In this work we employ the Hirota’s bilinear method to derive multiple-front solutions for nonlinear evolution equations… Expand Abstract.To any finite group Γ⊂Sp(V) of automorphisms of a symplectic vector space V we associate a new multi-parameter… Expand The anomalous scaling in the Kraichnan model of advection of the passive scalar by a random velocity field with nonsmooth spatial… Expand Abstract:Multivariable generalizations of the classical Hermite, Laguerre and Jacobi polynomials occur as the polynomial part of… Expand The wave functions of the Calogero-Sutherland model are known to be expressible in terms of Jack polynomials. A formula which… Expand The review is based on the author’s papers since 1985 in which a new approach to the separation of variables (SoV) has being… Expand Translationally invariant symmetric polynomials as coordinates for N-body problems with identical particles are proposed. It is… Expand Abstract We discuss several applications and extensions of our previous operator solution of the N-body quantum-mechanical… Expand Poincaré-invariant generalizations of the Galilei-invariant Calogero-MoserN-particle systems are studied. A quantization of the… Expand