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Complex version KdV equation and the periods solution

Yang Lei·Yang Kongqing·Luo Honggang
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Abstract

In this paper, the complex version KdV equation is discussed. The corresponding coupled equations is a integrable system in the sense of the bi-Hamiltonian structure, so the complex version KdV equation is integrable. A new spectral form is given, the periodic solution of the complex version KdV equation is obtained. It is showed that the periodic solution is the classical solution.

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Yang Lei, Yang Kongqing, Luo Honggang. 2001-08-16. Complex version KdV equation and the periods solution. https://arxiv.org/abs/nlin/0108027

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