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19942026
most citedAncient human genomes suggest three ancestral populations for present-day Europeans

1.5k citations

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15 papers · 1 filter

nlin.SI2021★ 6 cited

Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation

B. I. Suleimanov, A. M. Shavlukov

We provide a general solution for a first order ordinary differential equation with a rational right-hand side, which arises in constructing asymptotics for large time of simultane…

nlin.SI2020★ 11 cited

Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations

Rustem N. Garifullin, Ismagil T. Habibullin

In the article differential-difference (semi-discrete) lattices of hyperbolic type are investigated from the integrability viewpoint. More precisely we concentrate on a method for…

nlin.SI2020★ 16 cited

On a class of 2D integrable lattice equations

E. V. Ferapontov, I. T. Habibullin, M. N. Kuznetsova +1

We develop a new approach to the classification of integrable equations of the form where $\tr…

nlin.SI2020★ 1 cited

Modified series of integrable discrete equations on a square lattice with a non-standard symmetry structure

R. N. Garifullin, R. I. Yamilov

In a recent paper [TMP, 200:1 (2019), 966--984] by the authors, a series of integrable discrete autonomous equations on a square lattice with a non-standard structure of generalize…

nlin.SI2019★ 28 cited

On a classification algorithm of the integrable two-dimensional lattices via Lie-Rinehart algebras

I. T. Habibullin, M. N. Kuznetsova

In the article the problem of the integrable classification of nonlinear lattices depending on one discrete and two continuous variables is studied. By integrability we mean the pr…

nlin.SI2018

Algebraic Properties of Quasilinear Two-Dimensional Lattices connected with integrability

I. T. Habibullin, M. N Kuznetsova

In the article a classification method for nonlinear integrable equations with three independent variables is discussed based on the notion of the integrable reductions. We call th…