On representation of the P-Q pair solution at the singular point neighborhood

Physics – Mathematical Physics

Scientific paper

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6 pages, LaTeX2e

Scientific paper

The compatible expansion in series of solutions of both the equations of P-Q
pair at neighborhood of the singular point is obtained in closed form for
regular and irregular singularities. The conservation laws of the system of
ordinary differential equations to arise from the compatibility condition of
the P-Q pair are derived.

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