6 papers
Streams and Lazy Evaluation Applied to Integrable Models
Jose Carlos Brunelli
Computer algebra procedures to manipulate pseudo-differential operators are implemented to perform calculations with integrable models. We use lazy evaluation and streams to repres…
On a Non-local Gas Dynamics Like Integrable Hierarchy
J. C. Brunelli, Ashok Das
We study a new non-local hierarchy of equations of the isentropic gas dynamics type where the pressure is a non-local function of the density. We show that the hierarchy of equatio…
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…