Rahul Sharma (Editor)

Hirota Satsuma equation

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Hirota Satsuma equation is a set of three coupled nonlinear partial differential equations：

u t − 0.5 ∗ u x x x + 3 u u x − 3 ( v w ) x = 0 v t + v x x x − 3 u v x = 0 w t + w x x x − 3 u w x = 0

Hirota-Satsuma equation appeared in the theory of shallow water waves, first discussed by Hirota, Ryogo; Satsuma, Junkichi in 1976.

Hirota-Satsuma equation has multiple soliton solutions and traveling wave solutions.

References

Hirota-Satsuma equation Wikipedia
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