Abstract
In a first part (Sections 1 to 4), continuum and discrete (lattice) models of solids such as in elasticity and anelasticity are introduced with special attention paid to nonlinearity and dispersion. This is extended to solids with a microstructure of mechanical or electromagnetic origin. The second part (Sections 5 to 7) exemplifies models and properties of nonlinear-wave problems with an emphasis on solitary waves and soli-tons. Both exactly integrable and nearly integrable systems are considered. Systems governed by sine-Gordon, Boussinesq, Korteweg-de Vries, nonlinear Schrodinger and Zakharov equations or systems belong to the first class. Generalized Boussinesq, Zakharov and sine-Gordon-d’Alembert systems belong to the second class. The main properties of such systems are illustrated by computer-generated figures. Energy and pseudomomentum balances are presented as useful tools in such studies. Solitonic and dissipative structures are discriminated.
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.
