The Kundu-Eckhaus equation and its discretizations
Abstract
In this paper 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.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- November 2009
- DOI:
- arXiv:
- arXiv:0904.4844
- Bibcode:
- 2009JPhA...42T5203L
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- 10 pages