论文标题
riemann-hilbert的问题是六级和动态行为的非本地反向时间AKNS系统的$ n $ -soliton
Riemann-Hilbert problems of a non-local reverse-time AKNS system of six-order and dynamical behaviours of $N$-soliton
论文作者
论文摘要
在本文中，我们将解决非线性非局部反向六组分六阶AKNS系统。我们使用反向缩短将耦合系统减少到可集成的六阶NLS型方程。从AKNS系统的频谱问题开始，将提出Riemann-Hilbert问题。该公式允许使用位于矩阵jost溶液内核中的向量生成孤子溶液。当反射系数是零时，跳跃矩阵是身份，相应的riemann-hilbert问题产生了孤子解决方案，从而探索了它们的动力学。
In this paper, we are going to solve nonlinear nonlocal reverse-time six-component six-order AKNS system. We used reverse-time reduction to reduce the coupled system to an integrable six-order NLS-type equation. Starting from the spectral problem of the AKNS system, a Riemann-Hilbert problem will be formulated. This formulation allows to generate soliton solutions by using the vectors lying in the kernel of the matrix Jost solutions. When reflection coefficients are zeros, the jump matrix is identity and the corresponding Riemann-Hilbert problem yields soliton solutions, leading to explore their dynamics.
