Abstract
It is shown that the Kaup-Newell hierarchy can be derived from the so-called generating equations which are Lax integrable. Positive and negative flows in the hierarchy are derived simultaneously. The generating equations and mutual commutativity of these flows enable us to construct new Lax integrable equations.
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Supported by the Chinese Basic Research Project “Nonlinear Science”.
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Yang, Z., Zeng, Y. On generating equations for the Kaup-Newell hierarchy. Appl. Math.- J. Chin. Univ. 22, 413–420 (2007). https://doi.org/10.1007/s11766-007-0405-0
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DOI: https://doi.org/10.1007/s11766-007-0405-0