Nonlinear Partial Differential Equations.


Course outline

Course outline

Notes

Notes on the website can be found here and pdf notes are below

  1. Method of Characteristics for Linear Equations
  2. Traffic Waves
  3. Nonlinear Shallow Water Waves
  4. Introduction to KdV
  5. Numerical Solution of the KdV
  6. Conservation Laws for the KdV
  7. Introduction to the Inverse Scattering Transform
  8. Properties of the Linear Schrodinger Equation
  9. Connection betwen KdV and the Schrodinger Equation
  10. Example Calculations for the KdV and IST
  11. Reaction-Diffusion Systems
  12. Burgers Equation

Assignments

Assignment 1
Assignment 2
Assignment 3

Assignment Solutions

Assignment 1 solutions 
Assignment 2 solutions
Assignment 3 solutions