Corpus ID: 209460765

Inverse scattering transform for the Kundu-Eckhaus Equation with nonzero boundary condition.

@inproceedings{Guo2019InverseST,
  title={Inverse scattering transform for the Kundu-Eckhaus Equation with nonzero boundary condition.},
  author={Ning Guo and Jian Xu},
  year={2019}
}
  • Ning Guo, Jian Xu
  • Published 2019
  • Mathematics, Physics
  • In this paper, we consider the initial value problem for both of the defocusing and focusing Kundu-Eckhaus (KE) equation with non-zero boundary conditions (NZBCs) at infinity by inverse scattering transform method. The solutions of the KE equation with NZBCs can be reconstructed in terms of the solution of an associated $2 \times 2$ matrix Riemann-Hilbert problem (RHP). Furthermore, on the one hand, we obtain the N-soliton solutions with simple pole of the defocusing and focusing KE equation… CONTINUE READING

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    The Darboux transformation of the Kundu–Eckhaus equation

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