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

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

Exactly Solvable and Integrable Systems 2015-12-07 v1

Authors: Vladimir S. Gerdjikov , Dimitar M. Mladenov , Aleksander A. Stefanov , Stanislav K. Varbev

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.

Keywords

mKdV equations affine Kac-Moody algebra inverse scattering method Hamiltonian formulation Riemann-Hilbert problem Lax operator integrable system

Cite

@article{arxiv.1512.01475,
  title  = {On MKdV Equations Related to the Affine Kac-Moody Algebra $A_{5}^{(2)}$},
  author = {Vladimir S. Gerdjikov and Dimitar M. Mladenov and Aleksander A. Stefanov and Stanislav K. Varbev},
  journal= {arXiv preprint arXiv:1512.01475},
  year   = {2015}
}

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16 pages, 3 fugures

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

Abstract

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