sigma11-030. 409KB Jun 04 2011 12:10:50 AM
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To this end we extend the classical Heaviside algorithm, which is intended for solving initial value problems for ordinary linear differential equations with constant coefficients
The main idea is to consider the Lax pair ( 4 ) as equations for algebraic curves with respect to the unknown variables of the Painlev´e equation.. For the elliptic case,
Abstract. The algebraic structure and the spectral properties of a special class of multi- component NLS equations, related to the symmetric spaces of BD.I -type are analyzed. The
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
These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector.. Key words: Casoratian;
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
Key words: form factors; sigma form of Painlev´e VI; two-point correlation functions of the lattice Ising model; Fuchsian linear differential equations; complete elliptic
More- over, for algebraic or rational solutions, which are another class of classical solutions to the Painlev´e equations, it has been revealed that the special polynomials that
