Determinant Structure of the Rational Solutions for the Painlevé IV Equation

Details Determinant Structure of the Rational Solutions for the Painlevé IV Equation Determinant Structure of the Rational Solutions for the Painlevé IV Equation

1997-09-29

arxiv.org/abs/solv-int/9709011v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages, Latex, using theorem.sty

Scientific paper

10.1088/0305-4470/31/10/017

Rational solutions for the Painlev\'e IV equation are investigated by Hirota
bilinear formalism. It is shown that the solutions in one hierarchy are
expressed by 3-reduced Schur functions, and those in another two hierarchies by
Casorati determinant of the Hermite polynomials, or by special case of the
Schur polynomials.

Affiliated with

Also associated with

No associations

Rating

Determinant Structure of the Rational Solutions for the Painlevé IV Equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Determinant Structure of the Rational Solutions for the Painlevé IV Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Determinant Structure of the Rational Solutions for the Painlevé IV Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-487175