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arxiv: 0904.4844 · v1 · pith:BJ5HRJ5Wnew · submitted 2009-04-30 · 🌊 nlin.SI · nlin.PS

The Kundu--Eckhaus equation and its discretizations

classification 🌊 nlin.SI nlin.PS
keywords kundu--eckhausequationarticleburgerscomplexdiscretizationsdiscretizeequations
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In this article we show that the complex Burgers and the Kundu--Eckhaus equations are related by a Miura transformation. We use this relation to discretize the Kundu--Eckhaus equation.

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