Geodesic
Integrable systems of chiral type
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 5-21.

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We present new integrable systems close to the WZNW systems (Wess–Zumino–Novikov–Witten) and to the nonabelian affine Toda systems. One of the systems is a new integrable generalization of the sine-Gordon equation. 
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A. V. Balandin; O. N. Kashcheeva. Integrable systems of chiral type. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 5-21. http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a1/

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