Integral—Type Darboux Transformations for the mKdV Hierarchy with Self—COnsistent Sources

Integral—Type Darboux Transformations for the mKdV Hierarchy with Self—COnsistent Sources

ZENGYun－Bo;MAWen－Xiu;等

【期刊名称】《理论物理通讯：英文版》 【年(卷),期】2002(038)006

【摘要】We present integral-type Darboux transformation for the mKdV hierarchy and for the mKdV hierarchy with self-consistent sources,In contrast tiwh the nomal Darboux transformation,the integral-type Darboux transformations can offer non-auto-Baecklund transformation between two(2n+1)-th mKdV equations with self-consistent sources with different degrees.This kind of Darboux transformation enables us to construct the N-soliton solution for the mKdV hierarchy with self-consistent sources.We also propose the formulas for the m times repeated integral-type Darboux transformations for both mKdV hierarchy and mKdV hierarchy with self-consistent sources. 【总页数】8页(P.641-648)

【关键词】孤子方程;积分型Darboux变换;自洽源;非线性偏微分方程 【作者】ZENGYun－Bo;MAWen－Xiu;等 【

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DepartmentofMathematicalSciences,TsinghuaUniveersity,Beijing100084,China;DepartmentofMathematics,CityUniversityofHongKong,Kowloon,HongKong,China