On superposition of the autoBaecklund transformations for (2+1)-dimensional integrable systems

Details On superposition of the autoBaecklund transformations for (2+1)-dimensional integrable systems On superposition of the autoBaecklund transformations for (2+1)-dimensional integrable systems

1996-06-11

arxiv.org/abs/solv-int/9606003v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages (90 Kbytes), standard LaTeX 2.09, run twice to get the right cross-references. Resubmitted with the only correction:

Scientific paper

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.

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