Lump solutions to dimensionally reduced \(\varvec{p}\) -gKP and 详细信息    查看全文

• 作者：Wen Xiu Ma ; Zhenyun Qin ; Xing Lü
• 关键词：Lump solution ; Generalized bilinear derivative ; (3+1) ; dimensional bilinear p ; gKP and p ; gBKP equations
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：84
• 期：2
• 页码：923-931
• 全文大小：8,252 KB
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• 作者单位：Wen Xiu Ma (1) (2) (5)
  Zhenyun Qin (3)
  Xing Lü (4)
  
  1. College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai, 200090, People’s Republic of China
  2. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho, 2735, South Africa
  5. Department of Mathematics and Statistics, University of South Florida, Tampa, FL, 33620-5700, USA
  3. School of Mathematics and Key Lab for Nonlinear Mathematical Models and Methods, Fudan University, Shanghai, 200433, People’s Republic of China
  4. Department of Mathematics, Beijing Jiao Tong University, Beijing, 100044, People’s Republic of China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

Based on generalized bilinear forms, lump solutions, rationally localized in all directions in the space, to dimensionally reduced p-gKP and p-gBKP equations in (2+1)-dimensions are computed through symbolic computation with Maple. The sufficient and necessary conditions to guarantee analyticity and rational localization of the solutions are presented. The resulting lump solutions contain six parameters, two of which are totally free, due to the translation invariance, and the other four of which only need to satisfy the presented sufficient and necessary conditions. Their three-dimensional plots with particular choices of the involved parameters are made to show energy distribution.