Soliton Wave
KdV equation — two solitons collide and pass through each other unchanged
Speed of soliton 1:
2.0
Speed of soliton 2:
0.8
Amplitude scale:
1.0
Time scale:
1.0
Reset
Pause
KdV: u_t + 6u·u_x + u_xxx = 0
Soliton: u = (c/2)·sech²(√c/2·(x−ct))
After collision: shapes unchanged,
only phase shifts occur.