output
20022026
most citedGeneralization of the Rotne-Prager-Yamakawa mobility and shear disturbance tensors

135 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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5 papers · 1 filter

nlin.SI2025

Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice

Oleksiy O. Vakhnenko, Vyacheslav O. Vakhnenko

Bearing in mind the potential physical applicability of multicomponent completely integrable nonlinear dynamical models on quasi-one-dimensional lattices we have developed the nove…

nlin.SI2006★ 4 cited

On pattern structures of the N-soliton solution of the discrete KP equation over a finite field

Mariusz Bialecki, Jonathan J C Nimmo

The existence and properties of coherent pattern in the multisoliton solutions of the dKP equation over a finite field is investigated. To that end, starting with an algebro-geomet…

nlin.SI2005★ 10 cited

Integrable 1D Toda cellular automata

Mariusz Bialecki

First, we recall the algebro-geometric method of construction of finite field valued solutions of the discrete KP equation and next we perform a reduction of the dKP equation to th…

nlin.SI2003★ 33 cited

Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve

M. Bialecki, A. Doliwa

We transfer the algebro-geometric method of construction of solutions of the discrete KP equation to the finite field case. We emphasize role of the Jacobian of the underlying alge…

nlin.SI2002★ 27 cited

The Hirota equation over finite fields. Algebro-geometric approach and multisoliton solutions

Adam Doliwa, Mariusz Bialecki, Pawel Klimczewski

We consider the Hirota equation (the discrete analog of the generalized Toda system) over a finite field. We present the general algebro-geometric method of construction of solutio…