Acta Mathematica Sinica, English Series

, Volume 28, Issue 5, pp 969–974 | Cite as

Bäcklund transformation and conservation laws for the variable-coefficient N-coupled nonlinear Schrödinger equations with symbolic computation

  • Xiang Hua MengEmail author
  • Bo Tian
  • Tao Xu
  • Hai Qiang Zhang


Considering the integrable properties for the coupled equations, the variable-coefficient Ncoupled nonlinear Schrödinger equations are under investigation analytically in this paper. Based on the Lax pair with the nonisospectral parameter, a Bäcklund transformation for such a coupled system denoting in the Γ functions is constructed with the one-solitonic solution given as the application sample. Furthermore, an infinite number of conservation laws are obtained using symbolic computation.


Variable-coefficient N-coupled nonlinear Schrödinger equations Bäcklund transformation conservation laws solitonic solution symbolic computation 

MR(2000) Subject Classification



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Supplementary material

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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Xiang Hua Meng
    • 1
    • 2
    Email author
  • Bo Tian
    • 1
  • Tao Xu
    • 1
  • Hai Qiang Zhang
    • 1
  1. 1.School of ScienceBeijing University of Posts and TelecommunicationsBeijingP. R. China
  2. 2.Department of Mathematics, School of Applied ScienceBeijing Information Science and Technology UniversityBeijingP. R. China

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