In this project, students will simulate multi-soliton solutions to three integrable nonlinear wave equations: the Nonlinear Schroedinger Equation, the Korteweg de Vries Equation, and the Sine Gordon Equation. They will then create animations of these solutions in applicable contexts for the applications of these equations.
Completion of Calculus 3. Experience coding in some language is required. Experience with Matlab or a similar language is preferred, as coding for this project will be in Matlab. Experience with ODEs is preferred, experience with PDEs would be useful as well.