20 citations · 29 across the 3 of their papers we have counts for
3 papers
nlin.SI2014★ 8 cited
Integrable Discrete Nonautonomous Quad-equations as Bäcklund Auto-transformations for Known Volterra and Toda Type Semidiscrete Equations
R. N. Garifullin, R. I. Yamilov
We construct integrable discrete nonautonomous quad-equations as Bäcklund auto-transformations for known Volterra and Toda type semidiscrete equations, some of which are also nonau…
nlin.SI2012★ 1 cited
Affine Lie algebras, Lax pairs and integrable discrete and continuous systems
Rustem N. Garifullin, Ismagil T. Habibullin
A consistent set of six integrable discrete and continuous dynamical systems are suggested corresponding to arbitrary affine Lie algebra. The set contains a system of partial diffe…
math-ph2010★ 20 cited
Phase Shift in the Whitham Zone for the Gurevich-Pitaevskii Special Solution of the Korteweg-de Vries Equation
R. Garifullin, B. Suleimanov, N. Tarkhanov
We get the leading term of the Gurevich-Pitaevskii special solution to the KdV equation in the oscillation zone without using averaging methods.