Grassmann structures and integrable systems

✍ Scribed by James D.E. Grant

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 101 KB
• Volume: 40
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(01)00029-8

✦ Synopsis

We consider some natural connections which arise between right-flat (p, q) paraconformal structures and integrable systems. We find that such systems may be formulated in Lax form with a "Lax p-tuple" of linear differential operators, depending a spectral parameter which lives in (q -1)-dimensional complex projective space. Generally, the differential operators contain partial derivatives with respect to the spectral parameter.