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On the Darboux Transformation of the (2+1)-Dimensional Kadomtsev-Petviashvili Equation
Wang Lei 1 #,Gao YiTian 2,Gai XiaoLing 2,Meng DeXin 2
1.BUAAMinistry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics
2.Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing
*Correspondence author
#Submitted by
Subject:
Funding: 教育部博士点基金,国家自然科学基金,Key Project of Chinese Ministry of Education,973 Program(No.20060006024,,,)
Opened online: 9 January 2009
Accepted by: none
Citation: Wang Lei ,Gao YiTian,Gai XiaoLing .On the Darboux Transformation of the (2+1)-Dimensional Kadomtsev-Petviashvili Equation[OL]. [ 9 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27526
 
 
The Kadomtsev-Petviashvili (KP) equation describes such situations as the two-dimensional long water waves, surface waves and internal waves in straits or channels. The Darboux transformation (DT) of the KP equation is investigated in this paper. The previously-published four constrain conditions on the DT are hereby proved to be compatible and can be reduced to one. New representations of the solutions are presented, which are more concise than the existing ones.
Keywords:N-fold Darboux transformation; KP equation; long water waves; surface waves; internal waves
 
 
 

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