Symmetry analysis is applied to the generalized dispersive water waves system, which is
seen in many areas of physics including fluid dynamics and particle physics. The …

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 …

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 …

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 …

The conventional formulation of additional nonisospectral sysmmetries for the full
Kadomtsev-Petviashvili (KP) integrable hierarchy is not compatible with the reduction to the …

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

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In the context of Hermitian one-matrix models we show that the emergence of the NLS
hierarchy and of its reduction, the KdV hierarchy, is an exact result of the lattice …

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

For any two arbitrary positive integers “n” and “m”, using the m th KdV hierarchy and the (n+
m) th KdV hierarchy as building blocks, we are able to construct another integrable hierarchy …