Next:
First Lecture
Up:
Linear and Nonlinear Waves
Previous:
Grading Policy
Lecture Notes
Subsections
First Lecture
Step 1: Separation of variables
Step 2: Solve the spatial part
Step 3: Solve the temporal part
Step 4: General solution
Step 5: Fourier sine coefficients
Summary
Second Lecture - perturbation Theory and Mode Coupling
Selection rules for the triple–sine overlap integral.
Selection rules for the four–sine overlap integral.
Fourier transform:
Beams
FPUT Hamiltonian lecture
Real-space Hamiltonian
Discrete Fourier Transform
Quadratic Hamiltonian in Fourier Space
Cubic Hamiltonian in Fourier Space
Canonical Transformation to Normal Variables
Cubic Hamiltonian in Normal Variables
