论文标题
Riemann-Hilbert方法和N-Soliton溶液,用于混合的Chen-Lee-Liu衍生物非线性schrödinger方程
Riemann-Hilbert method and N-soliton solutions for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation
论文作者
论文摘要
在本文中,我们旨在通过Riemann-Hilbert(RH)方法研究混合的Chen-Lee-Liu衍生物非线性Schrödinger(CLL-NLS)方程。我们在宽松对的jost解决方案上构建了一个问题基础。通过解决与非反射案例相对应的RH问题,获得了Cll-NLS方程的N-Soliton解决方案,表达式为$(2N+1)\ times(2n+1)$ cliberal和$ 2N \ times2n $确定性。
In this paper, we aim to investigate the mixed Chen-Lee-Liu derivative nonlinear Schrödinger(CLL-NLS) equation via the Riemann-Hilbert(RH) method. we construct a RH problem base on the Jost solution of the Lax pair. By solving this RH problem corresponding to the non reflection case, the N-soliton solution of CLL-NLS equation is obtained, which expression is the ratio of $(2N+1)\times(2N+1)$ determinant and $2N\times2N$ determinant.