×

Solitons and symmetries. (English) Zbl 0932.35174

Summary: This article serves as an introduction to the special edition of solitons and symmetries in the Journal of Engineering Mathematics. Solitons, by their mathematical nature, are deeply connected to underlying symmetries of nonlinear equations. Described in this introduction is an historical and applications overview, with special emphasis directed at the technologically interesting field of soliton communications in fibre optics. A brief discussion of the papers contained in this special edition is included.

MSC:

35Q51 Soliton equations
35K05 Heat equation
35K40 Second-order parabolic systems
35-03 History of partial differential equations
PDFBibTeX XMLCite
Full Text: DOI