4 papers · 1 filter
Supersymmetric and Deformed Harry Dym hierarchies
J. C. Brunelli, A. Das, Z. Popowicz
In this talk, we describe our recent results on the supersymmetrization of the Harry Dym hierarchy as well as a newly constructed deformed Harry Dym hierarchy which is integrable w…
On the Integrability of a Class of Monge-Ampere Equations
J. C. Brunelli, M. Gurses, K. Zheltukhin
We give the Lax representations for for the elliptic, hyperbolic and homogeneous second order Monge-Ampere equations. The connection between these equations and the equations of hy…
The Supersymmetric Two Boson Hierarchy
J. C. Brunelli, Ashok Das
We summarize all the known properties of the supersymmetric integrable Two Boson equation. We present its nonstandard Lax formulation and tri-Hamiltonian structure, its reduction t…
KDV and NLS Equations as Tri-Hamiltonian Systems
J. C. Brunelli, Ashok Das
We show that the KdV and the NLS equations are tri-Hamiltonian systems. We obtain the third Hamiltonian structure for these systems and prove Jacobi identity through the method of…