An integrable ${\mathbb{Z}}_2^2$-graded extension of Camassa-Holm equation and its bi-Hamiltonian structure

N. Aizawa, Ichi Fujii, Ren Ito +1

By constructing Lax operators in the loop algebra of the ${\mathbb{Z}}_2^2$-graded extension of the Lie superalgebra $\mathfrak{osp}(1|2)$, we derive a ${\mathbb{Z}}_2^2$-graded extens…