We study the supersymmetric extensions of the Harry Dym hierarchy of equations. We obtain the susy-B extension, the doubly susy-B extension as well as the N=1 and the N=2 supersymmetric extensionsâ€¦ (More)

We study a new hierarchy of equations containing the Short Pulse equation, which describes the evolution of very short pulses in nonlinear media, and the Elastic Beam equation, which describesâ€¦ (More)

We obtain the conserved, nonlocal charges for the supersymmetric two boson hierarchy from fractional powers of its Lax operator. We show that these charges reduce to the ones of the supersymmetricâ€¦ (More)

We show that the supersymmetric nonlinear SchrÃ¶dinger equation can be written as a constrained super KP flow in a nonstandard representation of the Lax equation. We construct the conserved chargesâ€¦ (More)

We prove the integrability of the short pulse equation derived recently by SchÃ¤fer and Wayne from a hamiltonian point of view. We give its bi-hamiltonian structure and show how the recursion operatorâ€¦ (More)

We study the deformed Harry Dym and Hunter-Zheng equations with two arbitrary deformation parameters. These reduce to various other known models in appropriate limits. We show that both these systemsâ€¦ (More)

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 conserved chargesâ€¦ (More)

We generalize the construction of Gelfand-Dikii brackets to the case of nonstandard Lax equations. We also discuss the possible origin of Kac-Moody algebras present in such systems.

We show that the supersymmetric nonlinear SchrÃ¶dinger equation is a bi-Hamiltonian integrable system. We obtain the two Hamiltonian structures of the theory from the ones of the supersymmetric twoâ€¦ (More)