论文标题
Riemann-Hilbert的问题，用于非局部反向时期的SASA-SASUMA层次结构及其孤子解决方案
Riemann-Hilbert problems for a nonlocal reverse-spacetime Sasa-Satsuma hierarchy of a fifth-order equation and its soliton solutions
论文作者
论文摘要
我们的目标是基于非局部$ 5 \ times 5 $矩阵AKNS光谱问题，介绍和分析非线性非局部反向二阶标量SASA-SASAMA方程。从非局部基质AKNS频谱问题开始，局部和非局部对称关系源自一组旋转。提出了一种黎曼 - 希尔伯特的问题，可以通过使用位于矩阵jost溶液的内核中的向量来生成孤子溶液。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，其显式公式使我们能够探索其动力学。
We aim to present and analyze a nonlinear nonlocal reverse-spacetime fifth-order scalar Sasa-Satsuma equation, based on a nonlocal $5 \times 5$ matrix AKNS spectral problem. Starting from a nonlocal matrix AKNS spectral problem, local and nonlocal symmetry relations are derived from a group of rotations. A kind of Riemann-Hilbert problem is formulated, which allows to generate soliton solutions by using vectors lying in the kernel of the matrix Jost solutions. When reflection coefficients are zeros, the jump matrix is the identity and the corresponding Riemann-Hilbert problem yields soliton solutions, whose explicit formulas enable us to explore their dynamics.
