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
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
摘要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.
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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2008, Vol. 25 
