The solution of the Painleve equations as special functions of catastrophes, defined by a rejection in these equations of terms with derivative
Abstract
The relation between the Painleve equations and the algebraic equations with the catastrophe theory point of view are considered. The asymptotic solutions with respect to the small parameter of the Painleve equations different types are discussed. The qualitative analysis of the relation between algebraic and fast oscillating solutions is done for Painleve-2 as an example.
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