Quasi-linear Stokes phenomenon for the second Painlevé transcendent

Details Quasi-linear Stokes phenomenon for the second Painlevé transcendent Quasi-linear Stokes phenomenon for the second Painlevé transcendent

2001-08-07

arxiv.org/abs/nlin/0108010v1

Nonlinearity 16 (2003) 363-386

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages, LaTeX

Scientific paper

10.1088/0951-7715/16/1/321

Using the Riemann-Hilbert approach, we study the quasi-linear Stokes
phenomenon for the second Painlev\'e equation $y_{xx}=2y^3+xy-\alpha$. The
precise description of the exponentially small jump in the dominant solution
approaching $\alpha/x$ as $|x|\to\infty$ is given. For the asymptotic power
expansion of the dominant solution, the coefficient asymptotics is found.

Affiliated with

Also associated with

No associations

Rating

Quasi-linear Stokes phenomenon for the second Painlevé transcendent 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 Quasi-linear Stokes phenomenon for the second Painlevé transcendent, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-linear Stokes phenomenon for the second Painlevé transcendent will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-682196