The solution of the Painleve equations as special functions of catastrophes, defined by a rejection in these equations of terms with derivative

Details The solution of the Painleve equations as special functions of catastrophes, defined by a rejection in these equations of terms with derivative The solution of the Painleve equations as special functions of catastrophes, defined by a rejection in these equations of terms with derivative

1999-02-04

arxiv.org/abs/solv-int/9902004v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 15 pages

Scientific paper

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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