A new super-extension of the KdV hierarchy is proposed, which is associated with a 3×3 matrix spectral problem. Using super-trace identity, generalized bi-Hamiltonian structures of this hierarchy are established. Moreover, infinite conservation laws of the new super-KdV equation are derived....
IONAL KdV HIERARCHY ERRATA: A FRACTIONAL KdV HIERARCHYERRATA: A FRACTIONAL KdV HIERARCHYdoi:10.1142/S0217732391002761I. BAKASD. A. DEPIREUXModern Physics Letters AA Fractional KdV Hierarchy. Mod. Phys. Lett A6 - Bakas, Depireux - 1991
In this paper, a new nonlinear integrable coupling system of the soliton hierarchy is presented. From the Lax pairs, the coupled KdV equations are constructed successfully. Based on the prolongation method of Wahlquist and Estabrook, we study the prolongation structure of the nonlinear integrable coup...
extensionof”a=-2”Boussinesqhierarchy.Thefirstisthesupersymmetricgeneralization oftheLaxoperatoroftheModifiedKdVequation.Thesecondisthegeneralizationof thesupersymmetricLaxoperatoroftheN=2supersymmetrica=-2KdVsystem.The gaugetransformationofthefirstLaxoperatorprovidetheMiuralinkbetweenthe”small” N=4supersymm...
of the higher order equations can in some sense be related to the problem of the complete integrability of the basic system [7, 10]. Furthermore, a physical interpretation of the equations of the Korteweg-de Vries (KdV) hierarchy has been found by Kraenkel, Manna and Pereira in the framew...
We construct a fully supersymmetric biHamiltonian theory in four superfields, admitting zero curvature and Lax formulation. This theory is an extension of the classical AKNS, which can be recovered as a reduction. Other supersymmetric theories are obtained as reductions of the susy AKNS, namely a ...
Li [28] constructed the Sato theory of the bilinear equations and tau-function of a new q-deformed Toda hierarchy. Furthermore, the multicomponent extension was studied in detail. In [29], the authors studied the asymptotics of the dynamics of periodic Toda chains with a large number of ...
Kadomtsev–Petviashvili equation is used for describing the long water wave and small amplitude surface wave with weak nonlinearity, weak dispersion, and weak perturbation in fluid mechanics. Based on the modified symbolic computation approach, the multiple rogue wave solutions of a generalized (3+1)...
On a new Supersymmetric KdV Hierarchy in 2D Quantum Supergravity”, Phys - Figueroa-O’Farril, Stanciu - 1993 () Citation Context ...hat the hierarchy of super-differential equations presented is a new supersymmetric extension of the KdV hierarchy. The properties of this hierarchy have been ...
A previously unnoticed connection between the Lax descriptions andthe superextensions of the KdV hierarchy is presented. It is shownthat the two different Lax descriptions of the KdV hierarchy come outnaturally from two different bi-Hamiltonian superextensions of theKdV hierarchy. Some implications of ...