Airy Kernel Determinant Solutions to the KdV Equation and Integro-Differential Painlevé Equations
Mattia Cafasso, Tom Claeys, Giulio Ruzza
Topics & Concepts
Korteweg–de Vries equationMathematicsIntegro-differential equationDifferential equationMathematical physicsAiry functionKernel (algebra)Mathematical analysisFredholm determinantWedge (geometry)Fredholm integral equationDispersionless equationIntegral equationPure mathematicsFirst-order partial differential equationCharacteristic equationPhysicsKadomtsev–Petviashvili equationGeometryNonlinear systemQuantum mechanicsNonlinear Waves and SolitonsRandom Matrices and ApplicationsAlgebraic structures and combinatorial models