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Exact solutions for KdV system equations hierarchy

Author

Listed:
  • Ning, Tong-ke
  • Wu, Chong-feng
  • Zhang, Da-jun

Abstract

Exact solutions for KdV system equations hierarchy are obtained by using the inverse scattering transform. Exact solutions of isospectral KdV hierarchy, nonisospectral KdV hierarchies and τ-equations related to the KdV spectral problem are obtained by reduction. The interaction of two solitons is investigated.

Suggested Citation

  • Ning, Tong-ke & Wu, Chong-feng & Zhang, Da-jun, 2007. "Exact solutions for KdV system equations hierarchy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 421-428.
    • Handle: RePEc:eee:phsmap:v:377:y:2007:i:2:p:421-428
    DOI: 10.1016/j.physa.2006.11.039
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