This paper provides a systematic description of the interplay between a specific class of
reductions denoted as cKP r, m (r, m≥ 1) of the primary continuum integrable system—the …

Integrable hierarchies, viewed as isospectral deformations of an operator L may admit
symmetries; they are time-dependent vector fields, transversal to and commuting with the …

In this paper, we review various properties of the supersymmetric Two-Boson (sTB) system.
We discuss the equation and its nonstandard Lax representation. We construct the local …

Based on the dispersionless KP (dKP) theory, we study a topological Landau-Ginzburg (LG)
theory characterized by a rational potential. Writing the dKP hierarchy in a general form …

The method of squared eigenfunction potentials (SEP) is developed systematically to
describe and gain new information about the Kadomtsev–Petviashvili (KP) hierarchy and its …

We construct the most general supersymmetric two boson system that is integrable. We
obtain the Lax operator and the nonstandard Lax representation for this system. We show …

String equations of the p th generalized Kontsevich model and the compactified c= 1 string
theory are re-examined in the language of the Toda lattice hierarchy. As opposed to a …

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In this paper, we propose and study integrable discrete systems related to the classical
Boussinesq system. Based on elementary and binary Darboux transformations and …

In this paper we construct Darboux transformations and Bäcklund transformations for the
supersymmetric two-boson hierarchy. Three Darboux transformations and associated …