Open AccessСтационарные и самоподобные волны в стержне с разномодульной нелинейностью, диссипацией и дисперсией
Author(s) -
В.Е. Назаров,
С.Б. Кияшко
Publication year - 2020
Publication title -
žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-748X
pISSN - 0044-4642
DOI - 10.21883/jtf.2020.01.48654.82-19
Subject(s) - dissipation , dispersion (optics) , nonlinear system , mechanics , longitudinal wave , phase velocity , wave propagation , physics , classical mechanics , optics , thermodynamics , quantum mechanics
STATIONARY AND SELF-SIMILAR WAVES IN A RODWITH BIMODULAR NONLINEARITY, DISSIPATION AND DISPERSIONV.E.Nazarov, S.B.KiyaskoThe propagation of longitudinal elastic waves in a rod with bimodular nonlinearity, linear dissipation and geometric dispersion of the phase velocity is investigated. Analytical and numerical solutions for the profiles of stationary waves and self-similar periodic waves and impulsive perturbations propagating in such rod without changing the shape are obtained; their graphical analysis was carried out.