Results 21 to 30 of about 929 (72)
Integrability of Discrete Equations Modulo a Prime [PDF]
, 2013 We apply the 'almost good reduction' (AGR) criterion, which has been introduced in our previous (arXiv:1206.4456 and arXiv:1209.0223), to several classes of discrete integrable equations.
Kanki, Masataka
core +3 more sources
On the compatible weakly nonlocal Poisson brackets of hydrodynamic type
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 10, Page 587-614, 2002., 2002 We consider the pairs of general weakly nonlocal Poisson brackets of hydrodynamic type (Ferapontov brackets) and the corresponding integrable hierarchies. We show that, under the requirement of the nondegeneracy of the corresponding “first” pseudo‐Riemannian metric g(0) νμ and also some nondegeneracy requirement for the nonlocal part, it is possible to
Andrei Ya. Maltsev
wiley +1 more source
A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy
, 2018 The complete integrability of a generalized Riemann type hydrodynamic hierarchy is studied by means of a novel combination of symplectic and differential-algebraic tools.
A. Samoilenko +3 more
semanticscholar +1 more source
Journal of Applied Mathematics, Volume 2, Issue 7, Page 337-370, 2002., 2002 We solve the problem of description of nonsingular pairs of compatible flat metrics for the general N‐component case. The integrable nonlinear partial differential equations describing all nonsingular pairs of compatible flat metrics (or, in other words, nonsingular flat pencils of metrics) are found and integrated.
Oleg I. Mokhov
wiley +1 more source
High order multiscale analysis of discrete integrable equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability conditions
Rafael Hernandez Heredero +2 more
doaj +1 more source
Chains of KP, semi‐infinite 1‐Toda lattice hierarchy and Kontsevich integral
Journal of Applied Mathematics, Volume 1, Issue 4, Page 175-193, 2001., 2001 There are well‐known constructions of integrable systems that are chains of infinitely many copies of the equations of the KP hierarchy “glued” together with some additional variables, for example, the modified KP hierarchy. Another interpretation of the latter, in terms of infinite matrices, is called the 1‐Toda lattice hierarchy.
L. A. Dickey
wiley +1 more source
Gardner's deformations of the Boussinesq equations
, 2006 Using the algebraic method of Gardner's deformations for completely integrable systems, we construct the recurrence relations for densities of the Hamiltonians for the Boussinesq and the Kaup-Boussinesq equations. By extending the Magri schemes for these
Karasu, Atalay, Kiselev, Arthemy V.
core +1 more source
RECURSION OPERATORS FOR RATIONAL BUNDLE ON sl(3,C) WITH Z2 × Z2 × Z2 REDUCTION OF MIKHAILOV TYPE
, 2015 We consider the recursion operator related to a system introduced recently that could be considered as a generalization to a pole gauge generalized Zakharov-Shabat system on sl(3,C) but involving rational dependence on the spectral parameter and subject ...
A. Yanovski
semanticscholar +1 more source
Soliton solution of the osmosis K(2, 2) equation
, 2009 In this Letter, by using the bifurcation method of dynamical systems, we obtain the analytic expressions of soliton solution of the osmosis K(2, 2) equation.Comment: 8 ...
Biswas +10 more
core +1 more source
Continuous and Discrete (Classical) Heisenberg Spin Chain Revised [PDF]
, 2006 Most of the work done in the past on the integrability structure of the Classical Heisenberg Spin Chain (CHSC) has been devoted to studying the $su(2)$ case, both at the continuous and at the discrete level.
Ragnisco, Orlando, Zullo, Federico
core +6 more sources