منابع مشابه
generalized 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 کامل0 Generalized Kp Hierarchy for Several Variables
Following the techniques of M. Sato (see [Sa]), a generalization of the KP hierarchy for more than one variable is proposed. An approach to the classification of solutions and a method to construct algebraic solutions is also offered.
متن کاملThe nonstandard constrained KP hierarchy and the generalized Miura transformations
We consider the nonstandard constrained KP (ncKP) hierarchy which is obtained from the multi-constraint KP hierarchy by gauge transformation. The second Hamiltonian structure of the ncKP hierarchy can be simplified by factorizing the Lax operator into multiplication form, thus the generalized Miura transformation is obtained. We also discuss the free field realization of the associated W-algebra.
متن کاملThe Kp Hierarchy ,
The KP hierarchy is a completely integrable system of quadratic, partial differential equations that generalizes the KdV hierarchy. A linear combination of Schur functions is a solution to the KP hierarchy if and only if its coefficients satisfy the Pï ucker relations from geometry. We give a solution to the Pï ucker relations involving products of variables marking contents for a partition, an...
متن کاملA 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 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: Letters in Mathematical Physics
سال: 1996
ISSN: 0377-9017,1573-0530
DOI: 10.1007/bf00943276