Darboux transformation for a semi-discrete matrix coupled dispersionless system
HWA Riaz, J Lin - Applied Mathematics Letters, 2024 - Elsevier
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 …
is proposed, and the Darboux transformation is employed to construct exact solutions to the …
Pfaffian structures and certain solutions to BKP hierarchies I. Sums over partitions
AY Orlov, T Shiota, K Takasaki - arXiv preprint arXiv:1201.4518, 2012 - arxiv.org
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 …
call" easy tau functions". We consider two versions of BKP hierarchy, one we will call" small …
Hypergeometric functions as infinite-soliton tau functions
AY Orlov - Theoretical and mathematical physics, 2006 - Springer
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 …
parameters (integrals of motion). We show that soliton tau functions of the Toda lattice (and …
Schur function expansion for normal matrix model and associated discrete matrix models
AY Orlov, T Shiota - Physics Letters A, 2005 - Elsevier
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 …
matrices. This expansion coincides with Takasaki's expansion for tau functions of Toda …
Pfaffian structures and certain solutions to BKP hierarchies II. Multiple integrals
A Orlov, T Shiota, K Takasaki - arXiv preprint arXiv:1611.02244, 2016 - arxiv.org
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+ …
shall call" easy tau functions". We consider the" large BKP hiearchy" related to $ O (2\infty+ …
Elliptic hypergeometric functions
VP Spiridonov - arXiv preprint arXiv:1610.01557, 2016 - arxiv.org
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 …
September 2004. It is written in Russian and is posted due to the continuing requests for the …
Random turn walk on a half line with creation of particles at the origin
JW Van de Leur, AY Orlov - Physics Letters A, 2009 - Elsevier
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 …
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
JJC Nimmo, AY Orlov - Glasgow Mathematical Journal, 2005 - cambridge.org
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 …
HIERARCHY Page 1 Glasgow Math. J. 47A (2005) 149–168. C 2005 Glasgow Mathematical …
Multiple sums and integrals as neutral BKP tau functions
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 …
Kadomtsev-Petviashvili hierarchy on a root lattice of type B; neutral fermions, as the simplest …
Solitons and normal random matrices
IM Loutsenko, VP Spiridonov… - Journal of Statistical …, 2023 - iopscience.iop.org
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