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arXiv · 1512.01475

On MKdV Equations Related to the Affine Kac-Moody Algebra $A_{5}^{(2)}$

Vladimir S. Gerdjikov·Dimitar M. Mladenov·Aleksander A. Stefanov·Stanislav K. Varbev
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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.

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Vladimir S. Gerdjikov, Dimitar M. Mladenov, Aleksander A. Stefanov, Stanislav K. Varbev. 2015-12-04. On MKdV Equations Related to the Affine Kac-Moody Algebra $A_{5}^{(2)}$. https://arxiv.org/abs/1512.01475

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