Geodesic
Riemann--Hilbert approach and $N$-soliton solutions of the~two-component Kundu--Eckhaus equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 3, pp. 386-402

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We study the two-component Kundu–Eckhaus equation with a zero boundary condition at infinity. Based on the spectral analysis of the Lax pair, a Riemann–Hilbert problem is established. An $N$-soliton solution is then obtained by solving the regular and nonregular Riemann–Hilbert problems.
Mots-clés : $N$-soliton solution, Lax pair
Keywords: two-component Kundu–Eckhaus equation, Riemann–Hilbert approach, spectral analysis. 
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     author = {Chunjiang Wang and Jian Zhang},
     title = {Riemann--Hilbert approach and $N$-soliton solutions of the~two-component {Kundu--Eckhaus} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {386--402},
     publisher = {mathdoc},
     volume = {212},
     number = {3},
     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2022_212_3_a4/}
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Chunjiang Wang; Jian Zhang. Riemann--Hilbert approach and $N$-soliton solutions of the~two-component Kundu--Eckhaus equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 3, pp. 386-402. http://geodesic.mathdoc.fr/item/TMF_2022_212_3_a4/