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arXiv · 1703.01314

New types of two component NLS-type equations

Vladimir S. Gerdjikov·Alexander A. Stefanov
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Abstract

We study MNLS related to the D.III-type symmetric spaces. Applying to them Mikhailov reduction groups of the type $\mathbb{Z}_r\times \mathbb{Z}_2$ we derive new types of 2-component NLS equations. These are {\bf not} counterexamples to the Zakharov-Schulman theorem because the corresponding interaction Hamiltonians depend not only on $|q_k|^2$, but also on $q_1q_2^* +q_1^* q_2$.

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Vladimir S. Gerdjikov, Alexander A. Stefanov. 2017-03-03. New types of two component NLS-type equations. https://arxiv.org/abs/1703.01314

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