Results 11 to 20 of about 852 (42)
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 1, Page 9-14, 2002., 2002 The link between the treatment of singular Lagrangians as field systems and the canonical Hamiltonian approach is studied. It is shown that the singular Lagrangians as field systems are always in exact agreement with the canonical approach for the parametrization invariant theories.
S. I. Muslih
wiley +1 more source
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
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Fractional Analogous Models in Mechanics and Gravity Theories [PDF]
, 2010 We briefly review our recent results on the geometry of nonholonomic manifolds and Lagrange--Finsler spaces and fractional calculus with Caputo derivatives. Such constructions are used for elaborating analogous models of fractional gravity and fractional
D Baleanu +5 more
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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
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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.
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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
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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
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Complete integrability versus symmetry
, 2012 The purpose of this article is to show that on an open and dense set, complete integrability implies the existence of ...
Abraham R. +9 more
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On the non-integrability of the Popowicz peakon system [PDF]
, 2008 We consider a coupled system of Hamiltonian partial differential equations introduced by Popowicz, which has the appearance of a two-field coupling between the Camassa-Holm and Degasperis-Procesi equations.
Andrew N. W. Hone +2 more
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