## Journal of Geometry and Symmetry in Physics

### 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 $A^{(2)}_{5}$. 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.

#### Article information

Source
J. Geom. Symmetry Phys., Volume 39 (2015), 17-31.

Dates
First available in Project Euclid: 27 May 2017

https://projecteuclid.org/euclid.jgsp/1495850503

Digital Object Identifier
doi:10.7546/jgsp-39-2015-17-31

Mathematical Reviews number (MathSciNet)
MR3444883

Zentralblatt MATH identifier
1343.35208

#### Citation

Gerdjikov, Vladimir S.; Mladenov, Dimitar M.; Stefanov, Aleksander A.; Varbev, Stanislav K. On MKdV Equations Related to the Affine Kac-Moody Algebra $A_{5}^{(2)}$. J. Geom. Symmetry Phys. 39 (2015), 17--31. doi:10.7546/jgsp-39-2015-17-31. https://projecteuclid.org/euclid.jgsp/1495850503