AKNS方程的精确解(英文)

Explicit Solutions of AKNS Equations

对于 AKNS方程 :rx - rxxt+a3rrt+a4 rx∫x-∞rtdx +rt=0 ,讨论了它的 Painlevé性质 ,导出了它的谱问题的Darboux变换和 Crum定理 ,并得到了一些感兴趣的精确解 (如双孤子解 ,三孤子解 ,奇异解等 )

For the AKNS equation r x-r xxt+a 3rr t+a 4r x∫x -∞r tdx+r t=0, its Painlevé analysis is considered.The Darboux transformation and Crum theorem of its spectral problem are obtained.Some interesting solutions(such as double soliton solution, triple soliton solution, singular solution) have been found.