The four-dimensional Martinez Alonso-Shabat equation: Reductions and nonlocal symmetries

作者：Morozov Oleg I; Sergyeyev Artur^*

来源：Journal of Geometry and Physics, 2014, 85: 40-45.

DOI：10.1016/j.geomphys.2014.05.025

• Integrable systems
• Nonlocal symmetries
• Differential coverings
• Backlund transformations
• Lax pairs

We consider the four-dimensional integrable Martinez Alonso-Shabat equation and list three integrable three-dimensional reductions thereof. We also present a four-dimensional integrable modified Martinez Alonso-Shabat equation together with its Lax pair.
We further construct an infinite hierarchy of commuting nonlocal symmetries (and not just the shadows, as it is usually the case in the literature) for the Martinez Alonso-Shabat equation.

• 出版日期2014-11