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arXiv · 1712.08390

Covariant hodograph transformations between nonlocal short pulse models and AKNS$(-1)$ system

Kui Chen·Shimin Liu·Da-jun Zhang
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Abstract

The paper presents hodograph transformation between nonlocal short pulse models and the first member in the AKNS negative hierarchy (AKNS($-1$)). We consider real and complex multi-component cases. It is shown that the independent variables of the short pulse models and AKNS($-1$) that are connected via hodograph transformation are covariant in nonlocal reductions.

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Kui Chen, Shimin Liu, Da-jun Zhang. 2017-12-22. Covariant hodograph transformations between nonlocal short pulse models and AKNS$(-1)$ system. https://arxiv.org/abs/1712.08390

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