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Linear and Nonlinear Waves
MATH 6940
Spring 2026
Yuri V. Lvov
lvovy@rpi.edu x6893
Monday 2pm-4pm
Office Hours : Mondays, 18:00-20:00, webex personal room
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Lecture Notes
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
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