Integrable hyperbolic equations of sin-Gordon type

2009/12/27 by Meshkov, A. G., Sokolov, V. V.
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.0912.5092

Abstract

A complete list of nonlinear one-field hyperbolic equations having generalized integrable x- and y-symmetries of the third order is presented. The list includes both sin-Gordon type equations and equations linearizable by differential substitutions.

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