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Exact Solutions to a (3+1)-Dimensional Variable-Coefficient Kadomtsev-Petviashvilli Equation via the Bilinear Method and Wronskian Technique
Zhang Cheng * #,Tian Bo ,Xu Tao,Li Lili,Lv Xing ,Geng Tao,Zhu Hongwu
Beijing University of Posts and Telecommunications
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金，教育部博士点基金，the Key Project of Chinese Ministry of Education，the Open Fund of the State Key Laboratory of Software Development Environment，973项目（No.60772023,60372095，20060006024，106033，SKLSDE-07-001，2005CB321901）
Opened online:17 September 2008
Accepted by: none
Citation: Zhang Cheng ,Tian Bo ,Xu Tao.Exact Solutions to a (3+1)-Dimensional Variable-Coefficient Kadomtsev-Petviashvilli Equation via the Bilinear Method and Wronskian Technique[OL]. [17 September 2008] http://en.paper.edu.cn/en_releasepaper/content/24114
 
 
By truncating the Painlevé expansion at the constant level term, the Hirota bilinear form is obtained for a (3+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation. Based on its bilinear form, solitary-wave solutions are constructed via the \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\"-expansion method and the corresponding graphical analysis is given. Furthermore, the exact solution in the Wronskian form is presented and proved by direct substitution into the bilinear equation.
Keywords:(3+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation; Wronskian solution; Bilinear form; Exact solution
 
 
 

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