sigma07-080. 295KB Jun 04 2011 12:10:06 AM
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We re-interpret results on the classification of Toda chain solutions given by Sheffer class orthogonal polynomials in terms of exponential Riordan arrays.. (1) with u0 = 0, where
Abstract. We define the coupled modified KP hierarchy and its dispersionless limit. This integrable hierarchy is a generalization of the “half” of the Toda lattice hierarchy as well
We make use of a general method for solving linear differential equations of arbitrary order to construct new representations for the solutions of the known second order
In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body
We review Bacry and L´evy-Leblond’s work on possible kinematics as applied to 2-dimensional spacetimes, as well as the nine types of 2-dimensional Cayley–Klein geo-
For the total vacuum energy, globally renormalized, we found that the boundary terms in both the exact answer and the half-line expression are equal to zero; that is,
Here we shall use this Cayley transformation to obtain some sharp L 2 inequalities on the sphere for a family of Dirac type operators.. The full collection is available
We used the hydrodynamic approach of Dubrovin, Novikov to integrable systems and Dubrovin solutions of WDVV associativity equation to construct new integrable string equations
