# 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} }

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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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 32 REFERENCES

## Hamiltonian methods in the theory of solitons

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## The Darboux transformation of the Kundu–Eckhaus equation

VIEW 2 EXCERPTS