Small-amplitude dispersion oscillations on the background of the nonlinear geometric optic approximation

DOI10.1007/BF02557329zbMath0946.35099MaRDI QIDQ1567793

V. R. Kudashev, B. I. Suleimanov

Publication date: 26 June 2000

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

zbMATH Keywords

focusing nonlinear Schrödinger equationsmall-amplitude high-frequency oscillations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric optics (78A05)

Related Items (3)

Some features of bending of a rod under a strong longitudinal compression ⋮ 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

• Asymptotic expressions for the second Painlevé functions
• The second Painlevé equation in a problem concerning nonlinear effects near caustics
• "ISOMONODROMY" SOLUTIONS OF EQUATIONS OF ZERO CURVATURE
• Caustics in 1+1 integrable systems
• THE METHOD OF ISOMONODROMY DEFORMATIONS AND CONNECTION FORMULAS FOR THE SECOND PAINLEVÉ TRANSCENDENT

This page was built for publication: Small-amplitude dispersion oscillations on the background of the nonlinear geometric optic approximation