Differential constraints for the Kaup -- Broer system as a reduction of the 1D Toda lattice

Abstract

It is shown that some special reduction of infinite 1D Toda lattice gives differential constraints compatible with the Kaup -- Broer system. A family of the travelling wave solutions of the Kaup -- Broer system and its higher version is constructed.

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References in corpus (1)

• Reductions of the Volterra and Toda chains

Cited by in corpus (1)

• Deformation Conjecture: Deforming Lower Dimensional Integrable Systems to Higher Dimensional Ones by Using Conservation Laws