%0 Journal Article %T On MKdV Equations Related to the Affine Kac-Moody Algebra $A_{5}^{(2)}$ %A Vladimir S. Gerdjikov %A Dimitar M. Mladenov %A Aleksander A. Stefanov %A Stanislav K. Varbev %J Physics %D 2015 %I arXiv %X We have derived a new system of mKdV-type equations which can be related to the affine Lie algebra $A_{5}^{(2)}$. This system of partial differential equations is integrable via the inverse scattering method. It admits a Hamiltonian formulation and the corresponding Hamiltonian is also given. The Riemann-Hilbert problem for the Lax operator is formulated and its spectral properties are discussed. %U http://arxiv.org/abs/1512.01475v1