Differential equations for the cuspoid canonical integrals

DOI10.1063/1.526035zbMath0564.35085OpenAlexW1985181355MaRDI QIDQ3678102

J. N. L. Connor, Peter R. Curtis

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:20120629-145921487

zbMATH Keywords

oscillating integralscoalescing saddle pointsasymptotic cuspoid approximationcuspoid canonical integrals

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Partial differential equations of mathematical physics and other areas of application (35Q99) Other special functions (33E99) Dynamical systems and ergodic theory (37-XX)

Related Items (3)

Theory and numerical evaluation of oddoids and evenoids: oscillatory cuspoid integrals with odd and even polynomial phase functions ⋮ Cones of silence, complex rays and catastrophes: high-frequency flow–acoustic interaction effects ⋮ Diffraction of pulses in the vicinity of simple caustics and caustic cusps

Cites Work

• The uniform asymptotic swallowtail approximation: practical methods for oscillating integrals with four coalescing saddle points
• The Stokes set of the cusp diffraction catastrophe
• Nonlinear effects upon waves near caustics
• A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: application to Pearcey's integral and its derivatives
• Uniform Asymptotic Expansions for Saddle Point Integrals-Application to a Probability Distribution Occurring in Noise Theory

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