sigma08-004. 284KB Jun 04 2011 12:10:12 AM
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Then the pseudo-Riemannian metric on Sl(2 , R ) defined by u has a definite quadratic first integral (and hence is complete) provided that the Lax pair vector field has no
Hence the corresponding integrable equations may be considered as an intermediate case between generalized Thirring and (non-Abelian) Toda equation. 4.3.1 Case of second
Review paper [26] contains both general theorems of the symmetry method and classification results on integrable equations: the third and fifth order scalar equations,
Key words: Lie algebra; Ado theorem; integration; Lie group; infinite dimensional matrix; representation.. 2000 Mathematics Subject Classification: 15A09; 15A29; 17A99; 17B66;
Key words: quantum hall effect; non-anti-commutative geometry; supersymmetry; Hopf map; Landau problem; Chern–Simons theory; charge-flux duality.. 2000 Mathematics
Group classification of the three-dimensional equations describing flows of fluids with internal inertia, where the potential function W = W (ρ, ρ), is presented1. The given ˙
This is in contrast with the Yang–Mills theory, where one can formulate the gauge principle, to derive transformation properties of the vector gauge field and to find out
On the other hand, the generalized Bessel function was expressed for A and B -types root systems via multivariate hypergeometric series of two arguments and of Jack parameter
