1. The additional chapters of partial differential equations
Lecture 1. Introduction
Lecturer: S.V. Revina
The additional chapters of partial differential equations

2. Soliton is the solitary wave that maintains its shape while it travels at constant speed

3. John Scott Russell and the Union Canal, 1834

4. Netherlands, 1895 Korteweg - de Vriez equation

5. Fermi, Pasta, Ulam,1952

6. M.Kruskal, N.Zabusky Phys. Rev. Lett. 15, 240–243
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
N. J. Zabusky Bell Telephone Laboratories, Whippany, New Jersey
M. D. Kruskal Princeton University Plasma Physics Laboratory, Princeton, New Jersey
Received 3 May 1965
© 1965 The American Physical Society

7. Recreation of Russell’s soliton in 1995

8. Fibre optic

9. I do not know what I may appear to the world, but to myself I seem to have been only a boy playing on the sea-shore,… whilst the great ocean of truth lay all undiscovered before me Newton, Isaak