On Boutroux's Tritronquée Solutions of the First Painlevé Equation
By N. Joshi, Alexander V. Kitaev. 2001
91 citations recorded by the source corpus.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/caa6e780e7f13e480d7123c69bca2b7c9334dba7
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In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I (2010, background): “For example, it was calculated in [18] that the very first pole vp,1 of y(v) has arg vp,1 = 3π 5 and |vp,1| ≈ 2.”
- Classical Hurwitz numbers and related combinatorics (2016, unknown): “The rigorous proof that this formal solution gives the correct asymptotics of cg, and the determination of the constant C = √ 3/5 2π2 , are given in various places in the literature [34, 33, 25, 45].”
- Lectures on non‐perturbative effects in large N gauge theories, matrix models and strings (2012, background): “27) of PI, one has the following asymptotics [81, 79]”
- Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings (2007, methodology): “43) [23] confirms indeed the result (4.”