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Darboux Transformation and Multi-Solitons for Complex mKdV Equation

Qi-Lao Zha, Zhibin Li

Chinese Physics Letters · 2008 · 41 citations · 13 references

DOI

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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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