On Jan 1, , Roger K Dodd (and others) published the chapter: Soliton and nonlinear wave equations in a book. Buy Solitons and Nonlinear Wave Equations on ✓ FREE SHIPPING on qualified orders. Solitons and Nonlinear Wave Equations (R. K. Dodd, J. C. Eilbeck, J. D. Gibbon and H. C. Morris). Related Databases. Web of Science. You must be logged in with an active subscription to view this. Article Data. History. Published online: 10 July Publication Data. ISSN (print): ISSN (online):
Dodd, R. K. / Eilbeck, J. C. / Gibbon, J. D. / Morris, H. C., Solitons and Nonlinear Wave Equations. London et al., Academic Press X, S., £ US $ ISBN 0. X. 1 Jan The subjects addressed include: solitary waves and solitons, scattering transforms, the Schroedinger equation and the Korteweg-de Vries equation, and the inverse method for the isospectral Schroedinger equation and the general solution of the solvable nonlinear equations. Also considered are: isolation. Solitons & Nonlinear Wave Equations. Introduction. Solitons are stable nonlinear travelling waves that retain their shape and speed in interactions. First discovered empirically in the 's from observations of waves made by canal boats, solitons nowadays appear in numerous interesting applications and physical.
Nonlinear Wave Equations. There are many different nonlinear wave equations. Some types of equations have solutions that display singularities or gradient blow-ups, while other types of equations have smooth dispersive solutions ( decaying in time and space) or, in some cases, stable traveling wave solutions. Non-linear Wave Equations and Solitons. In the Scottish engineer John Scott Russell observed at the Union Canal at. Hermiston a well-localized* and unusually stable disturbance in the water that propagated for miles virtually unchanged. The disturbance was stimulated by the sudden stopping of a boat on the canal. In this report, we study various nonlinear wave equations arising in mathe- Before discussing nonlinear wave equations, we first present the n-dimen- Solitary Waves. Solitary waves are particle-like waves that arise from a balance between nonlinear and dispersive effects. A soliton is a solitary wave which main -.