首页|A Riemann-Hilbert approach in the form of a block matrix for the coupled matrix integrable system
A Riemann-Hilbert approach in the form of a block matrix for the coupled matrix integrable system
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Elsevier
The two expressions of N-soliton solutions for the coupled matrix integrable system are derived via the Riemann-Hilbert (RH) approach in the form of a block matrix. Firstly, the spectral structure of the matrix integrable system and a block matrix RH problem on the real axis are investigated. By solving the special matrix RH problem with reflectionless where a jump matrix is taken to be the identity matrix, the corresponding N-soliton solutions are computed in terms of both a summation formula and determinants. As applications, we present exact solutions of the 3-wave resonant interaction (3WRI) equations and the vector nonlinear Schrodinger (NLS) equations, respectively. Particularly, some novel dynamical behaviors for these solutions are further discussed by image simulation.
The coupled matrix integrable systemRiemann-Hilbert approachBlock matrixN -soliton solutionsRESONANT INTERACTIONEQUATIONS
NSTL
Elsevier
