On MKdV Equations Related to the Affine Kac-Moody Algebra A₅⁽²⁾
Gerdjikov, Vladimir S. · Mladenov, Dimitar M. · Stefanov, Aleksander A. · Varbev, Stanislav K.
Original · EN
We have derived a new system of mKdV-type equations which can be related to the affine Lie algebra A₅⁽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.
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