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The Hirota conditions. (English) Zbl 0622.35069
The condition on the polynomial P for a Hirota equation $$P\tau \cdot \tau =0$$ to have an N-soliton solution for arbitrary N is examined and simplified.

##### MSC:
 35Q99 Partial differential equations of mathematical physics and other areas of application 35A05 General existence and uniqueness theorems (PDE) (MSC2000)
##### Keywords:
Hirota equation; N-soliton
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##### References:
 [1] DOI: 10.1016/0167-2789(83)90274-9 · Zbl 0643.35098 [2] DOI: 10.1007/BF01940329 · Zbl 0388.17006 [3] DOI: 10.1103/PhysRevLett.27.1192 · Zbl 1168.35423
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