A new extended discrete KP hierarchy and a generalized dressing method
نویسندگان
چکیده
منابع مشابه
A new extended discrete KP hierarchy and generalized dressing method
Abstract Inspired by the squared eigenfunction symmetry constraint, we introduce a new τk-flow by “extending” a specific tn-flow of discrete KP hierarchy (DKPH). We construct extended discrete KPH (exDKPH), which consists of tnflow, τk-flow and tn evolution of eigenfunction and adjoint eigenfunctions, and its Lax representation. The exDKPH contains two types of discrete KP equation with self-co...
متن کاملDressing Method and the Coupled KP Hierarchy
The coupled KP hierarchy, introduced by Hirota and Ohta, are investigated by using the dressing method. It is shown that the coupled KP hierarchy can be reformulated as a reduced case of the 2-component KP hierarchy.
متن کاملgeneralized KP hierarchy
We propose one possible generalization of the KP hierarchy, which possesses multi bi–hamiltonian structures, and can be viewed as several KP hierarchies coupled together .
متن کاملAlgebraic Aspects of the Discrete Kp Hierarchy
Abstract. We discuss some algebraic properties of the so-called discrete KP hierarchy, an integrable system defined on a space of infinite matrices. We give an algebraic proof of the complete integrability of the hierarchy, which we achieve by means of a factorization result for infinite matrices, that extends a result of Adler and Van Moerbeke for the case of (semi-infinite) moment matrices, a...
متن کاملQuasi - classical ∂̄ - dressing approach to the weakly dispersive KP hierarchy
Recently proposed quasi-classical ∂̄-dressing method provides a systematic approach to study the weakly dispersive limit of integrable systems. We apply the quasi-classical ∂̄-dressing method to describe dispersive corrections of any order. We show how calculate the ∂̄ problems at any order for a rather general class of integrable systems, presenting explicit results for the KP hierarchy case. We ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2009
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/42/45/454026