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Zbl 0717.58024
Hietarinta, J.
Hirota's bilinear method and partial integrability. (English)
[A] Partially integrable evolution equations in physics, Proc. NATO/ASI, Les Houches/Fr. 1989, NATO ASI Ser., Ser. C 310, 459-478 (1990).

[For the entire collection see Zbl 0703.00017.] \par The author considers Hirota's bilinear method. The method was introduced for the study of completely integrable systems in connection with N- soliton solutions. It is shown that bilinear equations can be given for partially integrable systems, i.e. systems that do not have general N- soliton solutions, but only some soliton solutions.
[G.Warnecke]
MSC 2000:
*37J35 Completely integrable systems, etc.
37K10 Completely integrable systems etc.
35Q51 Solitons

Keywords: solitons; bilinear method; completely integrable systems; partially integrable systems

Citations: Zbl 0703.00017

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