论文标题
关于Chen-Lee-liu衍生物非线性Schrödinger方程的Riemann-Hilbert问题
On the Riemann-Hilbert problem for the Chen-Lee-Liu derivative nonlinear Schrödinger equation
论文作者
论文摘要
在这项工作中，我们通过统一转换方法在半线上调查了一个联合的陈列 - 李 - 李衍生物非线性schrödinger方程（称为kundu的Cll-nls方程）。我们为Cll-NLS方程的LAX对提供了光谱分析，并建立了矩阵Riemann-Hilbert问题，以通过求解Cll-NLS方程的解决方案$ R（z，t）$。此外，光谱函数不是独立的，而是通过兼容条件享受，即所谓的全球关系。
In this work, we investigated a combined Chen-Lee-Liu derivative nonlinear Schrödinger equation(called CLL-NLS equation by Kundu) on the half-line by unified transformation approach. We gives spectral analysis of the Lax pair for CLL-NLS equation, and establish a matrix Riemann-Hilbert problem, so as to reconstruct the solution $r(z,t)$ of the CLL-NLS equation by solving. Furthermore, the spectral functions are not independent, but enjoy by a compatibility condition, which is the so-called global relation.
