Journal of Chaohu University ›› 2018, Vol. 20 ›› Issue (6): 30-41.

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INTERACTION SOLUTIONS FOR THE (2+1)-DIMESIONAL FIFTH-ORDER KDV EQUATION#br#

Abstract: The Hirota bilinear method is used to obtain the single soliton solution, the breather solution and the Lump soliton#br# solution of the (2+1)-dimensional KdV equation. The motion trajectory, effective volume and effective kinetic energy of the Lump-type soliton are obtained by theoretical calculation. The kinetic feature quantity is then found by the superposition of the single soliton solution and the breather solution to find out the phenomenon that the breather is swallowed by a single soliton,and explore the particle characteristics such as collision, rebound, absorption and splitting in the interaction process of Lump soliton and single soliton. Thus the phenomenon behind the reflected laws of physics is revealed.#br#   

  1. Ningbo University, Ningbo Zhejiang 315211
  • Received:2018-09-22 Online:2018-11-25 Published:2018-11-25
  • Contact: MENG Yong
  • About author:MENG Yong
  • Supported by:
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Abstract: Abstract: The Hirota bilinear method is used to obtain the single soliton solution, the breather solution and the Lump soliton
solution of the (2+1)-dimensional KdV equation. The motion trajectory, effective volume and effective kinetic energy of the Lump-type soliton are obtained by theoretical calculation. The kinetic feature quantity is then found by the superposition of the single soliton solution and the breather solution to find out the phenomenon that the breather is swallowed by a single soliton,and explore the particle characteristics such as collision, rebound, absorption and splitting in the interaction process of Lump soliton and single soliton. Thus the phenomenon behind the reflected laws of physics is revealed.

Key words: Key words: single soliton solution, breather solution, lump soliton, particle property, dynamic feature quantity

CLC Number: 

  • O175.29