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- Landau Institute for Theoretical PhysicsRU3 papers
- University of BremenDE3 papers
- Coventry UniversityGB1 paper
- Imperial College LondonGB1 paper
- Institut FourierFR1 paper
- Krasnoyarsk State Pedagogical UniversityRU1 paper
- Lomonosov Moscow State UniversityRU1 paper
- Los Alamos National LaboratoryUS1 paper
- Okayama UniversityJP1 paper
- Russian Academy of SciencesRU1 paper
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6 papers · 1 filter
Finite-order meromorphic solutions and the discrete Painleve equations
R. G. Halburd, R. J. Korhonen
Let w(z) be a finite-order meromorphic solution of the second-order difference equation w(z+1)+w(z-1) = R(z,w(z)) (eqn 1) where R(z,w(z)) is rational in w(z) and meromorphic in z.…
The Boussinesq equation and Miura type transformations
Maxim Pavlov
A direct method for calculation of Miura type transformations via LA pair is used for the Boussinesq equation. Quadratic Miura type transformations connected with local weakly-nonl…
On a class of three-dimensional integrable Lagrangians
E. V. Ferapontov, K. R. Khusnutdinova, S. P. Tsarev
We characterize non-degenerate Lagrangians of the form such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})…
Monodromy in the resonant swing spring
H. R. Dullin, A. Giacobbe, R. Cushman
This paper shows that an integrable approximation of the spring pendulum, when tuned to be in resonance, has monodromy. The stepwise precession angle of the swing plane of…
Projective differential geometry of higher reductions of the two-dimensional Dirac equation
L. V. Bogdanov, E. V. Ferapontov
We investigate reductions of the two-dimensional Dirac equation imposed by the requirement of the existence of a differential operator of order mapping its eigenfunctions…
Decomposition of higher order equations of Monge-Ampere type
E. V. Ferapontov
Given a function f(x, t), its fourth (symmetric) differential is a quartic form in dx, dt. It is well-known that any quartic form in two variables can be represented as a sum of th…