On MKdV Equations Related to the Affine Kac-Moody Algebra $A_5^{(2)}$

Abstract

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.

arXiv comment16 pages, 3 fugures