Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation

DOI10.1088/0951-7715/20/10/009zbMath1135.34044OpenAlexW1978043962MaRDI QIDQ5421415

Adri B. Olde Daalhuis, C. J. Howls, John R. King, S. Jonathan Chapman

Publication date: 22 October 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:4b921d1f-811b-41c6-963a-0f602995cfe0

zbMATH Keywords

shock wavecaustic

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (7)

Burgers' equation in the complex plane ⋮ Stokes phenomena in discrete Painlevé II ⋮ New gravity–capillary waves at low speeds. Part 2. Nonlinear geometries ⋮ Hyperasymptotics and hyperterminants: exceptional cases ⋮ First-order general differential equation for multi-level asymptotics at higher levels and recurrence relationship of singulants ⋮ Nonlinear q-Stokes phenomena for q-Painlevé I ⋮ Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice

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