Discrete symmetry's chains and links between integrable equations

Details Discrete symmetry's chains and links between integrable equations Discrete symmetry's chains and links between integrable equations

2002-06-29

arxiv.org/abs/nlin/0207001v1

Journal of Mathematical Physics, Vol.44, N3, pp. 1183-1201 (2003)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages

Scientific paper

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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