FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 7, PAGES 163-166

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

T. Neuwirth

Abstract

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We present a chain of changes of variables that transforms a new integrable system found by Konno, Asai, and Kakuhata 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.

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Last modified: February 13, 2007