High-frequency asymptotics of solution of the nonlinear problem near a caustic

DOI10.1016/0021-8928(81)90012-5zbMath0486.35081OpenAlexW2028109286MaRDI QIDQ1164799

S. M. Manukyan

Publication date: 1981

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(81)90012-5

zbMATH Keywords

high-frequency asymptoticsnonlinear dispersing inhomogeneous mediaquasi-simple harmonic small amplitude waves near caustic

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Partial differential equations of mathematical physics and other areas of application (35Q99) Waves and radiation in optics and electromagnetic theory (78A40)

Cites Work

• Some problems of stability of propagation of nonlinear waves in shells and plates
• On nonlinear reflection of weak shock waves
• Uniform asymptotic expansions at a caustic
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