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Darboux Transformation and Multi-Solitons for Complex mKdV Equation |
ZHA Qi-Lao1,2;LI Zhi-Bin1 |
1Department of Computer Science, East China Normal University, Shanghai 2000622College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022 |
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Cite this article: |
ZHA Qi-Lao, LI Zhi-Bin 2008 Chin. Phys. Lett. 25 8-11 |
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Abstract An explicit N-fold Darboux transformation with multi-parameters for coupled mKdV equation is constructed with the help of a gauge transformation of the Ablowitz--Kaup--Newell--Segur (AKNS) system spectral problem. By using the Darboux transformation and the reduction technique, some multi-soliton solutions for the complex mKdV equation are obtained.
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Keywords:
03.40.Kf
02.90.Jr
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Received: 04 October 2007
Published: 27 December 2007
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