NONLINEAR WAVES
KdV solitons, NLS breathers, wave steepening and breaking
EQUATION
KdV: u_t + 6uu_x + u_xxx = 0
Burgers: u_t + uu_x = νu_xx
NLS: iψ_t + ψ_xx + 2|ψ|²ψ = 0
Sine-Gordon: u_tt − u_xx + sin(u) = 0
KDV PARAMETERS
Dispersion c₃:
0.5
Nonlinearity c₁:
1.0
Viscosity ν (Burgers):
0.05
INITIAL CONDITIONS
KdV soliton (sech²)
Two solitons
Sine wave
Gaussian pulse
NLS breather
Shock (Burgers)
STATISTICS
Time t
0
Max |u|
0
L² norm
0
Energy
0
CONTROLS
Pause
Reset
Speed:
3