Abstract
Abstract : The asymptotic behavior of weakly nonlinear waves at caustics is determined for nonlinear wave propagation. A theory is developed for the propagation of short waves of any strength. A method is found for analyzing the stability of a large class of nonlinear waves. The theory of acoustoelasticity is reduced by considering nonlinear effects on waves in granular material. The theory of waves in heterogeneous media analyzed scattering by slender bodies. The pass and stop bands are determined for waves in stratified periodic media. The same is done for an acoustic medium containing rigid spheres arranged in a simple cubic lattice. The amplitude equations are determine for resonantly-interacting water waves in water of nonuniform depth. Keywords: Nonlinear waves; Heterogenous media; Reciprocal theorems; Effective parameters; Pouring flows; Surface flow; Weir flow; Caustics of nonlinear waves; Asymptotic behavior of stability regions for Hill's equation; Stability of periodic plane waves; Lower bounds of permeability; Newtons second law; Stability of plane wave solutions of nonlinear systems; Resonantly interacting water waves; Nonlinear hyperbolic waves. (jhd)
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
