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 ...
For the Harry Dym hierarchy, a non-standard Lax formulation is deduced from that of the Korteweg–de Vries (KdV) equation through a reciprocal transformation. By supersymmetrizing this Lax operator, a new N = 2 supersymmetric extension of the Harry Dym hierarchy is constructed, and is further...
An N = 3 supersymmetric extension of the KdV equation, whose Hamiltonian structure is the classical O(3)-extended superconformal algebra is presented. Integrability of the equation is argued based on the existence of a non-trivial conservation law which reduces to the first non-trivial conservation...
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...
The bispectral property of a\\r <b>\\r <i>q</i>\\r </b>\\r -deformation of the Schur polynomials and the\\r <b>\\r <i>q</i>\\r </b>\\r -KdV hierarchy 出版日期:1997-10-21 类型:期刊 年:1997
As its reduction cases, the multi-component C-KdV hierarchy is given. Finally, the multi-component integrable coupling system of C-KdV hierarchy is presented through enlarging matrix spectral problem.关键词: 矩阵 代数学 Liouville可积分 可积耦合 DOI: 10.1088/0253-6102/45/4/003 ...
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
supersymmetricboussinesqhierarchyextensionslaxkdv arXiv:hep-th/9707065v220Oct1997EXTENSIONSOFTHEN=2SUPERSYMMETRICa=-2BOUSSINESQHIERARCHYZ.Popowicz1InstituteofTheoreticalPhysics,UniversityofWroclawpl.M.Borna9,50-204Wroclaw,PolandAbstract.WepresenttwodifferentLaxoperatorsforamanifestlyN=2supersymmetricextensionof”a...
arestudiedmakinguseofamulti-timeformalismandimposingtheconditionthatthemaintermsatisfiesthewholeKdVhierarchy.TheevolutionofthehigherordertermswithrespecttothehigherordertimevariablescanbedescribedthroughtheintroductionofalinearizedKdVhierarchy.Thisallowsonetogiveanexpressionofthehigherordertimederivativesthatappearinthe...
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 ...