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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)
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[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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