达布变换与Whitham-Broer-Kaup方程的多种解(英文)  

Darboux Transformation and Various Solutions for the Whitham-Broer-Kaup Equations

作　　者：扎其劳[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2010年第6期541-550,554,共11页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：Supported by the National Natural Science Foundation of China(10771072);the Natural Science Foundation of Inner Mongolia(2009 MS0108);the High Education Science Research Programof Inner Mongolia(NJ10045);the Initial Funding of Scientific Research Project for Ph.D.of Inner Mongolia Normal University and the Natural Science Foundation of Inner Mongolia Normal University(ZRYB08017)

摘　　要：根据谱问题的规范变换,为Whitham-Broer-Kaup(WBK)方程建立了含有多个参数的N重达布变换,并利用该达布变换获得了WBK方程的多孤子解、周期波解和复合解.An explicit N-fold Darboux transformation with multi-parameters for Whitham-Broer-Kaup equations is constructed with the help of a gauge transformation of a spectral problem.Some new multi-soliton solutions,periodic wave solutions and complexiton solutions of the Whitham-Broer-Kaup equations are given via the Darboux transformation.

关 键 词：达布变换 孤子解 周期波解 复合解 Whitham-Broer-Kaup方程 

分 类 号：O175.29[理学—数学]