Influence of weak nonlinearity on the high-frequency asymptotics in caustic rearrangements

DOI10.1007/BF01015791zbMath0817.35105OpenAlexW2004207430MaRDI QIDQ1804138

B. I. Suleimanov

Publication date: 17 May 1995

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01015791

zbMATH Keywords

Helmholtz equationnonlinear Schrödinger equationsnonlinear special functionssingular points of caustics

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ Asymptotics of the Gurevich-Pitaevskii universal special solution of the Korteweg-de Vries equation as \(|x|\to\infty\) ⋮ On analogs of wave catastrophe functions that are solutions of nonlinear integrable equations ⋮ Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation

Cites Work

• Monodromy problem and the boundary condition for some Painlevé equations
• Nonlinear effects upon waves near caustics
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