Darboux-Backlund Derivation of Rational Solutions of the Painleve IV Equation

Details Darboux-Backlund Derivation of Rational Solutions of the Painleve IV Equation Darboux-Backlund Derivation of Rational Solutions of the Painleve IV Equation

2009-03-19

arxiv.org/abs/0903.3421v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

21 pages

Scientific paper

Rational solutions of the Painleve IV equation are constructed in the setting
of pseudo-differential Lax formalism describing AKNS hierarchy subject to the
additional non-isospectral Virasoro symmetry constraint. Convenient Wronskian
representations for rational solutions are obtained by successive actions of
the Darboux-Backlund transformations.

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