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Solutions for real dispersionless Veselov-Novikov hierarchy

Authors
  • Chang, Jen-Hsu
  • Chen, Yu-Tung
Type
Preprint
Publication Date
Oct 02, 2008
Submission Date
Oct 02, 2008
Identifiers
DOI: 10.1007/s11232-009-0062-y
Source
arXiv
License
Unknown
External links

Abstract

We investigate the dispersionless Veselov-Novikov (dVN) equation based on the framework of dispersionless two-component BKP hierarchy. Symmetry constraints for real dVN system are considered. It is shown that under symmetry reductions, the conserved densities are therefore related to the associated Faber polynomials and can be solved recursively. Moreover, the method of hodograph transformation as well as the expressions of Faber polynomials are used to find exact real solutions of the dVN hierarchy.

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