Journal of Mathematical Sciences

, Volume 151, Issue 4, pp 3182–3184 | Cite as

The Konno-Asai-Kakuhata system revisited: Reciprocal transformation and connection to the Kaup-Newell system

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Abstract

We present a chain of changes of variables that transforms a new integrable system found by Konno, Asai and Kakuhata, (J. Phys. Soc. Jpn., 74, No. 7, 1881–1882 (2005)) into a system of three PDEs that consists of the well-known Kaup-Newell system and a scalar first-order linear PDE on the background of the latter.

Keywords

Soliton Gauge Transformation Linear Extension Inverse Scattering Suitable Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Mathematical InstituteSilesian University in OpavaOpavaCzech Republic

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