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

E. T. Ganzha; S. P. Tsarev

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

E. T. Ganzha·S. P. Tsarev

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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.

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E. T. Ganzha, S. P. Tsarev. 1997-01-16. On superposition of the autoBaecklund transformations for (2+1)-dimensional integrable systems. https://arxiv.org/abs/solv-int/9606003

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