Simple waves

1
solitons
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Nonlinear waves solitons
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Linear dispersion relation
4
Reductive perturbation method
KdV equation
5
KdV equation
6
KdV equation
7
KdV equation
Pulse solution
Pulse solution
8
KdV equation
9
KdV equation
Solitary Wave
10
KdV equation
Solitary Wave
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Simplified model -- collision
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Solitary waves in water
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Fermi, Pasta, and Ulam recurrence phenomena
sinewave
sinewave
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Fermi, Pasta, and Ulam recurrence phenomena
nonlinear
dispersion
15
Fermi, Pasta, and Ulam recurrence phenomena
16
Fermi, Pasta, and Ulam recurrence phenomenaEqual
amplitudes
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Fermi, Pasta, and Ulam recurrence phenomenaEqual
amplitudes
18
Many Faces of SolitonsKanehisa Takasaki (Kyoto
University)
Zabusky kruskal
KdV soliton
19
Many Faces of SolitonsKanehisa Takasaki (Kyoto
University)
Sine Gordon
20
Many Faces of SolitonsKanehisa Takasaki (Kyoto
University)
mKdV soliton collision
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