Introduction to solitons

MIKI WADATI

Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7--3--1, Bunkyo-ku, Tokyo 113--0033, Japan

Email: wadati@monet.phys.s.u-tokyo.ac.jp

Abstract.

As an introduction to the special issue on nonlinear waves, solitons and their significance in physics are reviewed.  The soliton is the first universal concept in nonlinear science.  Universality and ubiquity of the soliton concept are emphasized. 

Keywords:  Solitons; inverse scattering method; soliton  equation; nonlinear Schrödinger equation; completel integrable system

Pacs Nos.  05.45-a; 05.90+m; 02.90+p

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