Dirac Operator of a Conformal Surface Immersed in R^4: Further Generalized Weierstrass Relation
| dc.creator | Matsutani, Shigeki | |
| dc.date | 1998-01-04 | |
| dc.date.accessioned | 2026-07-07T06:17:30Z | |
| dc.date.available | 2026-07-07T06:17:30Z | |
| dc.description | In the previous report (J. Phys. A (1997) 30 4019-4029), I showed that the Dirac operator defined over a conformal surface immersed in R^3 is identified with the Dirac operator which is generalized the Weierstrass- Enneper equation and Lax operator of the modified Novikov-Veselov (MNV) equation. In this article, I determine the Dirac operator defined over a conformal surface immersed in R^4, which is reduced to the Lax operators of the nonlinear Schrodinger and the MNV equations by taking appropriate limits. Thus the Dirac operator might be the Lax operator of (2+1)- dimensional soliton equation. | |
| dc.description | AMS-Tex Use | |
| dc.identifier | https://arxiv.org/abs/solv-int/9801006 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9801006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94406 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Dirac Operator of a Conformal Surface Immersed in R^4: Further Generalized Weierstrass Relation | |
| dc.type | text |