Fronts of stationary nonlinear waves in media with memory and factorization theorems

DOI10.1016/0021-8928(87)90026-8zbMath0692.73025OpenAlexW2077873940MaRDI QIDQ583932

A. A. Lokshin

Publication date: 1987

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(87)90026-8

zbMATH Keywords

soliton-like solutionsstrong discontinuitiescontinuousasymptotic factorization of the Klein- Fock-Gordon equationdiscontinuous one-dimensional wavesfactorization theoremsnear-front asymptotic formsnon-zero solutions of Volterra-type nonlinear integral equations without right sidesnonlinearly hereditary rodsstationary profile

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05) Dynamical problems in solid mechanics (74Hxx)

Cites Work

• Asymptotic analysis of the possibilities of making use of non-linear effects in acoustic-diagnostics of layered media
• Asymptotic determination of the formation process of nonlinear distortion of one-dimensional pulses in a layered medium
• On the propagation of a strong discontinuity in an inhomogeneous medium with hard relieving
• Non-linear reflection of a plane wave in an elastic medium
• The application of the three-dimensional theory of elasticity to the analysis of flexural waves in a semi-infinite plate acted on by a short-time boundary loading
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