Category:Nonlinear PDE's Course

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These pages contain notes for the course in Nonlinear PDE's taught by Mike Meylan

  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
2026 course
Week Date Topic Assessment
Week 1 2 Mar 2026 Method of Characteristics for Linear Equations
Week 2 9 Mar 2026 Traffic Waves
Week 3 16 Mar 2026 Nonlinear Shallow Water Waves
Week 4 23 Mar 2026 Introduction to KdV
Week 5 30 Mar 2026 Numerical Solution of the KdV Assignment 1
Week 6 6 Apr 2026 Conservation Laws for the KdV
Week 7 13 Apr 2026 Introduction to the Inverse Scattering Transform
Week 8 20 Apr 2026 Properties of the Linear Schrodinger Equation
Week 9 27 Apr 2026 Connection betwen KdV and the Schrodinger Equation
Week 10 4 May 2026 Example Calculations for the KdV and IST
Week 11 11 May 2026 Reaction-Diffusion Systems
Week 12 18 May 2026 Burgers Equation Assignment 2
Week 13 25 May 2026 No topic
Week 14 1 Jun 2026 No topic Assignment 3
Week 15 8 Jun 2026 No topic
Week 16 15 Jun 2026 No topic Final Exam
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