On superposition of the autoBaecklund transformations for (2+1)-dimensional integrable systems
solv-int
2008-02-03 v2 Exactly Solvable and Integrable Systems
Abstract
The usual superposition formulas for Baecklund transformations of (2+1)-dimensional integrable systems include quadratures unlike the well known case of (1+1)-dimensional inegrable systems where the fourth solution is found with algebraic operations. In the present paper we show how in the case of (2+1)-dimensional integrable systems one can find an extended formula of nonlinear superposition such that the resulting solution will be found uniquely from the given previous solution with algebraic operations.
Cite
@article{arxiv.solv-int/9606003,
title = {On superposition of the autoBaecklund transformations for (2+1)-dimensional integrable systems},
author = {E. T. Ganzha and S. P. Tsarev},
journal= {arXiv preprint arXiv:solv-int/9606003},
year = {2008}
}
Comments
11 pages (90 Kbytes), standard LaTeX 2.09, run twice to get the right cross-references. Resubmitted with the only correction: acknowledgment of grant RBFR 96-01-00050 support