Caustics of nonlinear waves

DOI10.1016/0165-2125(87)90031-XzbMath0645.35062OpenAlexW1997812024MaRDI QIDQ1103112

Joseph B. Keller, John K. Hunter

Publication date: 1987

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(87)90031-x

zbMATH Keywords

conservation lawslarge amplitudesexpansions at causticsGeometrical optics expansions

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Asymptotic expansions of solutions to PDEs (35C20) Geometric optics (78A05)

Related Items (12)

CASCADE OF PHASE SHIFTS FOR NONLINEAR SCHRÖDINGER EQUATIONS ⋮ Geometric optics and instability for semi-classical Schrödinger equations ⋮ Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection ⋮ NUMERICAL ASPECTS OF NONLINEAR SCHRÖDINGER EQUATIONS IN THE PRESENCE OF CAUSTICS ⋮ The Cauchy problem for the Pavlov equation with large data ⋮ Focusing of spherical nonlinear pulses in ${\mathbb R}^{1+3}$ ⋮ Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). III: Sub and supercritical cases ⋮ Caustics of weak shock waves ⋮ Focusing of spherical nonlinear pulses for nonlinear wave equations ⋮ Nonlinear waves in materials with mixed nonlinearity. ⋮ Focusing of weak acoustic shock waves at a caustic cusp. ⋮ Comportements Précisés Près D'Une Caustique En Optique Géométrique Non Linéaire

Cites Work

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• Ondes asymptotiques et approchees pour des systèmes d'équations aux dérivées partielles non linéaires
• Boundary layer problems in diffraction theory
• Weakly nonlinear high frequency waves
• Nonlinear Cusped Caustics for Dispersive Waves
• Resonantly Interacting, Weakly Nonlinear Hyperbolic Waves. II. Several Space Variables
• Uniform asymptotic expansions at a caustic
• REFLECTION AT A LAMINAR BOUNDARY LAYER OF A WEAK STEADY DISTURBANCE TO A SUPERSONIC STREAM, NEGLECTING VISCOSITY AND HEAT CONDUCTION

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