摘要
考虑Hirota Satsuma方程rx-rxxt- 3rrt+3rx∫∞xrtdx+rt=0及相关谱问题φxxx=(1) 3ux) φx +λφ , λφt=(13-ut) φxx+uxtφx,得到其Darboux变换和相关的Crum定理及用Darboux变换求N孤子解的变换公式 ,并得到Hirota Satsuma方程的一些有意义的解 ,如双孤子解。
Hirota-Satsuma equation r x-r xxt-3rr t+3r x∫ ∞ xr tdx+r t=0 is considered.A Darboux transformation of a spectral problem associated with the equation is studied.It is also considered that Crum theorem can be used to obtain N-solitons by Darboux transformation.Some interesting solutions (such as bifurcate soliton solution,singular solution and double-peak soliton solution) are found.
出处
《郑州大学学报（理学版）》
CAS
2003年第3期1-4,共4页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金资助项目 ,编号 10 0 710 75
河南省教育厅自然科学基金 ,编号 2 0 0 1110 0 0 0 9
