15 citations · 29 across the 5 of their papers we have counts for
5 papers
A Lax Equation for the Non-Linear Sigma Model
J. C. Brunelli, A. Constandache, Ashok Das
We propose a Lax equation for the non-linear sigma model which leads directly to the conserved local charges of the system. We show that the system has two infinite sets of such co…
Generalized Benney Lattice and the Heavenly Equation
A. Constandache, Ashok Das, Ziemowit Popowicz
We generalize the Benney lattice and show that the new system of equations can be reduced to a generalized Chaplygin gas as well as the heavenly equation. We construct two infinite…
Lucas polynomials and a standard Lax representation for the polytropic gas dynamics
A. Constandache, Ashok Das, F. Toppan
A standard Lax representation for the polytropic gas dynamics is derived by exploiting various properties of the Lucas and Fibonacci polynomials. The two infinite sets of conserved…
Painleve Analysis in Superspace
Alin A. Constandache
A method for carrying out the Painleve test in superspace is proposed. The method is then applied to the one-parameter N=1 supersymmetric extensions of the KdV equation.
Dispersionless Fermionic KdV
J. Barcelos-Neto, Alin Constandache, Ashok Das
We analyze the dispersionless limits of the Kupershmidt equation, the SUSY KdV-B equation and the SUSY KdV equation. We present the Lax description for each of these models and bri…