Abstract

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.

中文翻译：

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二分量 Kundu-Eckhaus 方程的 Riemann-Hilbert 方法和 $$N$$ -孤子解

摘要

我们研究了在无穷远处具有零边界条件的双分量 Kundu-Eckhaus 方程。基于 Lax 对的谱分析，建立了 Riemann-Hilbert 问题。然后通过求解正则和非正则 Riemann-Hilbert 问题获得\(N\) -孤子解。