Lecture 1 - Introduction to Solitons

Рет қаралды 33,863

Күн бұрын

Chapter 0 in the lecture notes
00:29 Historical discovery of solitons by John Scott Russell
03:23 Solitary waves in the lab
04:25 Solitary waves in nature
05:35 Definition of a soliton
07:55 KdV equation
13:55 Linearised KdV, dispersionless KdV, and full KdV
18:00 Time evolution of u(x,0) = N(N+1) sech^2(x), for various values of N
22:53 Collision of KdV solitons and phase shift
25:51 The modern revival of solitons
30:49 What this course is about
31:56 The ball and box model
35:13 PAUSE VIDEO FOR EXERCISE
36:53 2-colour ball and box model

Пікірлер: 33

@kamilziemian995 2 күн бұрын

This lecture helped me. Thank you for your work.

@lawaljaafaru3493 2 күн бұрын

Good work

@00000ghcbs 3 жыл бұрын

Thank you so much, beautifully explained! This is exactly what I was looking for :)

@luccalus 3 жыл бұрын

Thank you Prof. Beautiful lecture

@akram294 3 жыл бұрын

Thank you. Nice lecture

@dimosthenisvallis3555 2 жыл бұрын

Thank you so much for this presentation. So well explained

@Felipe_f 3 жыл бұрын

I wrote a paper on solutions to the kdv equation. I applied it to the problem of three solitons. it was really cool when I got the result.

@akram294 3 жыл бұрын

can you share your work or link of your paper please?

@CelineStudywithme 2 жыл бұрын

Thank you for this great explanation!

@gabrieleruffini4884 2 жыл бұрын

complimenti lezione meravigliosa. Una riprova che il web oltre alle esternazioni di terrapiattisti e no-vax può diffondere anche contenuti di altissimo livello. Grazie.

@nurhasanmahmudshahen8039 2 жыл бұрын

Very Informative. Thank you so much, beautifully explained.

@9443429868 3 жыл бұрын

dear sir,, ur lecture r very useful and working in that field only. can u upload missing video lectures from 3 to 8 ?. i am sure that i ll be helpful to who r working in solitons

@shivratsachdeva5148 Жыл бұрын

where are the remaining lectures available? Could you plz share a link?

@rabiyamubeen4520 Жыл бұрын

im student of phd and today my supervisor have given me a paper of optical soliton

@gopalmondal98 2 ай бұрын

Topic: solution of kdv equation with a source form... Which method I have to read?

@itspunit01 2 жыл бұрын

i Really appreciate this.. thanks .. its very helpful

@bevanwu3855 3 жыл бұрын

Thanks for your lecture. Would you mind sending a copy of this slide to me?

@nonsoorji6642 3 жыл бұрын

Solitons still remain an inexhaustible area of research with so many evolving research ideas and models. May I ask for any material that dwells most on the models and simplified mathematical derivations for each of the models? Your help will deeply be appreciated.

@philharmer198 Ай бұрын

Solitons are fascinating .

@dr.mismailkhan1509 2 жыл бұрын

really motivating

@saharsoumeeh9341 2 жыл бұрын

thank you so much for your good explanation and sharing .I need the solution of nonlinear sigma model for skyrmions. Could you help me?

@21centuryschizoid 2 жыл бұрын

Videos 3-7 please!Lecture notes please!

@zirpbeats2142 2 жыл бұрын

what about solitary sound waves ? How do you create them ?

@antogonc 10 ай бұрын

What software do you use for the graphs animations?

@nonsoorji6642 3 жыл бұрын

This is so much good for an introductory part of soliton but may I ask that KdV dominates modelling of soliton in shallow water, what model defines that in deep water. Thank you so much. How can I get access to the remaining part of this lecture?

@joebainbridge5757 3 жыл бұрын

If you are still interested, take a look at the non-linear Schroedinger equation for models in deep water

@nonsoorji6642 3 жыл бұрын

@@joebainbridge5757 Thank you so much.

@tarekmahmoudkhalifa8067 2 жыл бұрын

I need video for solving KdV using Hirota bulinear method, thanks alot

@meryk6974 Жыл бұрын

Could you find a solution?

@lordbr1798 Ай бұрын

0:01 Solitons Explanation Since no one knows, I'll answer the problem. Think of a roller, the water is not just water, there is oxygen around it, this oxygen works like mini balls that do the work, when they are hit the effect happens