中国物理B ›› 2013, Vol. 22 ›› Issue (4): 40201-040201.doi: 10.1088/1674-1056/22/4/040201

• GENERAL •    下一篇

N-soliton solutions of an integrable equation studied by Qiao

扎其劳   

  1. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
  • 收稿日期:2012-08-09 修回日期:2012-10-08 出版日期:2013-03-01 发布日期:2013-03-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11261037), the High Education Science Research Rund of China (Grant No. 211034), and the High Education Science Research Program of Inner Mongolia Autonomous Region, China (Grant No. NJ10045).

N-soliton solutions of an integrable equation studied by Qiao

Zhaqilao (扎其劳)   

  1. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
  • Received:2012-08-09 Revised:2012-10-08 Online:2013-03-01 Published:2013-03-01
  • Contact: Zhaqilao E-mail:zhaqilao@imnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11261037), the High Education Science Research Rund of China (Grant No. 211034), and the High Education Science Research Program of Inner Mongolia Autonomous Region, China (Grant No. NJ10045).

摘要: In this paper, we studied N-soliton solutions of a new integrable equation studied by Qiao [J. Math. Phys. 48 082701 (2007)]. Firstly, we employed the Darboux matrix method to construct a Darboux transformation for the modified Korteweg-de Vries equation. Then we use the Darboux transformation and a transformation, introduced by Sakovich [J. Math. Phys. 52 023509 (2011)], to derive N-soliton solutions of the new integrable equation from the seed solution. In particular, the multiple soliton solutions are explicitly obtained and shown through some figures.

关键词: soliton solution, Darboux transformation, integrable equation

Abstract: In this paper, we studied N-soliton solutions of a new integrable equation studied by Qiao [J. Math. Phys. 48 082701 (2007)]. Firstly, we employed the Darboux matrix method to construct a Darboux transformation for the modified Korteweg-de Vries equation. Then we use the Darboux transformation and a transformation, introduced by Sakovich [J. Math. Phys. 52 023509 (2011)], to derive N-soliton solutions of the new integrable equation from the seed solution. In particular, the multiple soliton solutions are explicitly obtained and shown through some figures.

Key words: soliton solution, Darboux transformation, integrable equation

中图分类号:  (Integrable systems)

  • 02.30.Ik
02.30.Jr (Partial differential equations) 05.45.Yv (Solitons)