Broer-Kaup系统3类达布变换间的关系及其精确解

摘要

Three kinds of Darboux transformations of Broer-Kaup equation were considered, and their re lationship was discussed. Explicit solutions of BK equations were obtained by Darboux transformations.%从Broer-Kaup系统的谱问题出发,借助相应的Lax对,得到Broer-Kaup系统3种达布变换,并讨论了3种达布变换间的关系.作为应用,利用达布变换,解出Broer-Kaup系统的精确解并研究了解的性态.