Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (2): 276-284.

• Articles • Previous Articles     Next Articles

Algebro-Geometric Solutions of the D-AKNS Equations

 SUN Yu-Juan, DING Qi**, MEI Jian-Qin, ZHANG Hong-Qing   

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024
  • Online:2013-04-25 Published:2013-04-25
  • Contact: DING Qi,dingqi.dl@gmail.com E-mail:sunyujuan.dlut@gmail.com; dingqi.dl@gmail.com; meijq@dlut.edu.cn; zhanghq@dlut.edu.cn
  • Supported by:

    辽宁省教育厅科学研究一般项目(L2012009)和中央高校基本科研业务费专项基金(DUT11SX03)资助

Abstract:

The D-AKNS equations are decomposed into system of partial differential equations which is easier to solve. The Abel-Jacobi coordinates and Abel map are introduced to straighten out the flows, from which algebro-geometric solutions of the D-AKNS equations are obtained 
by means of the Riemann theta function.

Key words: Algebro-geometric solution, D-AKNS equations, Riemann theta function

CLC Number: 

  • 35Q51
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