Quasi-classical limit of BKP hierarchy andW-infinity symmetries
نویسندگان
چکیده
منابع مشابه
Quasi-classical limit of BKP hierarchy and W-infinity symmetries
Previous results on quasi-classical limit of the KP and Toda hierarchies are now extended to the BKP hierarchy. Basic tools such as the Lax representation, the Baker-Akhiezer function and the tau function are reformulated so as to fit into the analysis of quasi-classical limit. Two subalgebras WB 1+∞ and w B 1+∞ of the Winfinity algebrasW1+∞ and w1+∞ are introduced as fundamental Lie algebras o...
متن کاملq-analogue of modified KP hierarchy and its quasi-classical limit
A q-analogue of the tau function of the modified KP hierarchy is defined by a change of independent variables. This tau function satisfies a system of bilinear q-difference equations. These bilinear equations are translated to the language of wave functions, which turn out to satisfy a system of linear q-difference equations. These linear q-difference equations are used to formulate the Lax for...
متن کاملOn dispersionless BKP hierarchy and its reductions
Integrable dispersionless Kadomtsev-Petviashvili (KP) hierarchy of B type is considered. Addition formula for the τ -function and conformally invariant equations for the dispersionless BKP (dBKP) hierarchy are derived. Symmetry constraints for the dBKP hierarchy are studied.
متن کاملClassical quasi-primary submodules
In this paper we introduce the notion of classical quasi-primary submodules that generalizes the concept of classical primary submodules. Then, we investigate decomposition and minimal decomposition into classical quasi-primary submodules. In particular, existence and uniqueness of classical quasi-primary decompositions in finitely generated modules over Noetherian rings are proved. More...
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: Letters in Mathematical Physics
سال: 1993
ISSN: 0377-9017,1573-0530
DOI: 10.1007/bf00745149