sigma11-035. 484KB Jun 04 2011 12:10:51 AM
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We apply the Painlev´e test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by
In Section 4 we will address the second-order PHA, the determination of the general systems having third-order differential ladder operators and their connection with Painlev´e
In this article, we show that the second nearest neighbor correlation function can be simplified with some combinatorial formulae, and give an explicit formula for the third
As a consequence we have studied the conjugate Hamiltonian equations for the second type of Li´enard equation which resembles the Gambier equation in certain respects and have
In Section 6 we examine the quantum version of the hidden symmetries and analyze the gravitational and axial anomalies connected with quantum symme- try operators for Klein–Gordon
ˇ Cap generalized to arbitrary parabolic geometries a bijective correspondence between conformal vector fields and adjoint tractors (sections of the associated bundle to the
This was done by renormalizing the Racah and Askey–Wilson polyno- mials on the top level of the scheme as families of orthogonal polynomials depending on four positive parameters
The parameter differentiation formulae given in [ 5 ] are derivatives for associated Legendre functions of the first and second kind with respect to the degree, evaluated
