@book{76f912be202341429e15cd1455a1cd14,

title = "The N=2 supersymmetric unconstrained matrix GNLS hierarchies",

abstract = "The generalization of the $N=2$ supersymmetric chiral matrix $(k|n,m)$--GNLS hierarchy to the case when matrix entries are bosonic and fermionic unconstrained $N=2$ superfields is proposed. This is done by exhibiting the corresponding matrix Lax--pair representation in terms of $N=2$ unconstrained superfields. It is demonstrated that when matrix entries are chiral and antichiral $N=2$ superfields, it reproduces the $N=2$ chiral matrix $(k|n,m)$-GNLS hierarchy, while in the scalar case, $k=1$, it is equivalent to the $N=2$ supersymmetric multicomponent hierarchy. The simplest example --- the $N=2$ unconstrained $(1|1,0)$--GNLS hierarchy --- and its reduction to the $N=2$ supersymmetric ${\alpha}=1$ KdV hierarchy are discussed in more detail, and its rich symmetry structure is uncovered.",

keywords = "MSC-35Q51, MSC-35Q53, IR-65800, EWI-3433, MSC-35Q58, Completely integrable systems, Discrete symmetries, Supersymmetry",

author = "A.S. Sorin and P.H.M. Kersten",

note = "Imported from MEMORANDA",

year = "2002",

language = "English",

series = "Memorandum",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1613",

}