FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 7, PAGES 117-128

Recursion operator for the intrinsic generalized sine-Gordon equation

M. Marvan
M. Poboril

Abstract

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We find the inverse and direct recursion operator for the intrinsic generalized sine-Gordon equation in any number $n\; >\; 2$ of independent variables. Among the flows generated by the direct operator we identify a higher-dimensional analogue of the pmKdV equation.

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Last modified: February 13, 2007