# Is the $\mathbb{Z}_2\times \mathbb{Z}_2$-graded sine-Gordon equation integrable?

@inproceedings{Bruce2021IsT, title={Is the \$\mathbb\{Z\}\_2\times \mathbb\{Z\}\_2\$-graded sine-Gordon equation integrable?}, author={A. Bruce}, year={2021} }

We examine the question of the integrability of the recently defined Z2 × Z2-graded sine-Gordon model, which is a natural generalisation of the supersymmetric sine-Gordon equation. We do this via appropriate auto-Bäcklund transformations, construction of conserved spinor-valued currents and a pair of infinite sets of conservation laws.

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