In this paper, a semi-discrete matrix coupled dispersionless system is presented. A Lax pair
is proposed, and the Darboux transformation is employed to construct exact solutions to the …

We introduce a useful and rather simple class of BKP tau functions which which we shall
call" easy tau functions". We consider two versions of BKP hierarchy, one we will call" small …

It is known that resonant multisoliton solutions depend on higher times and a set of
parameters (integrals of motion). We show that soliton tau functions of the Toda lattice (and …

We consider Schur function expansion for the partition function of the model of normal
matrices. This expansion coincides with Takasaki's expansion for tau functions of Toda …

We introduce a useful and rather simple classes of BKP tau functions which which we shall
shall call" easy tau functions". We consider the" large BKP hiearchy" related to $ O (2\infty+ …

This is author's Habilitation Thesis (Dr. Sci. dissertation) submitted at the beginning of
September 2004. It is written in Russian and is posted due to the continuing requests for the …

We consider a version of random motion of hard core particles on the semi-lattice 1, 2, 3,…,
where in each time instant one of three possible events occurs, viz.,(a) a randomly chosen …

A RELATIONSHIP BETWEEN RATIONAL AND MULTI-SOLITON SOLUTIONS OF THE BKP
HIERARCHY Page 1 Glasgow Math. J. 47A (2005) 149–168. C 2005 Glasgow Mathematical …

We consider multiple sums and multiple integrals as tau functions of the so-called neutral
Kadomtsev-Petviashvili hierarchy on a root lattice of type B; neutral fermions, as the simplest …

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