Discrete symmetry's chains and links between integrable equations

Artyom Yurov

doi:10.1063/1.1523641

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arXiv · nlin/0207001

Discrete symmetry's chains and links between integrable equations

Artyom Yurov

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Abstract

The discrete symmetry's dressing chains of the nonlinear Schrodinger equation (NLS) and Davey-Stewartson equations (DS) are consider. The modified NLS (mNLS) equation and the modified DS (mDS) equations are obtained. The explicitly reversible Backlund auto-transformations for the mNLS and mDS equations are constructed. We demonstrate discrete symmetry's conjugate chains of the KP and DS models. The two-dimensional generalization of the P4 equation are obtained.

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Artyom Yurov. 2002-06-29. Discrete symmetry's chains and links between integrable equations. https://doi.org/10.1063/1.1523641

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