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math.CA2019
On global solutions of defocusing mKdV equation with specific initial data of critical regularity
Kamil Dunst, Piotr Kokocki
We study the asymptotic behavior of the Ablowitz-Segur solutions for the second Painlevé equation using the Riemann-Hilbert approach and methods based on asymptotic expansions of c…
math.CA2018
Total integrals of Ablowitz-Segur solutions for the inhomogeneous Painlevé II equation
Piotr Kokocki
In this paper, we establish a formula determining the value of the Cauchy integrals of the real and purely imaginary Ablowitz-Segur solutions for the inhomogeneous second Painlevé…