A simple method for generating integrable hierarchies with multi-potential functions

Engui Fan and Yufeng Zhang

Chaos, Solitons & Fractals, 2005, vol. 25, issue 2, 425-439

Abstract: A simple efficient method for obtaining integrable hierarchies of evolution equations with multi-potential functions is proposed. By making use of the concept of cycled numbers, a new loop algebra A∼1∗ is constructed. Taking account of applicable convenience, a few subalgebras of the loop algebra A∼1∗ are presented again, from one of them, two new integrable Hamiltonian hierarchies with multi-potential functions are obtained. Finally, a 3×3 loop algebra G∼ with five dimensions is established, from which a coupled integrable coupling system of one of the above integrable hierarchies is derived. The approach presented in this paper can be used generally.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:2:p:425-439

DOI: 10.1016/j.chaos.2004.08.010

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