Multi-symplectic method for generalized fifth-order KdV equation
Hu Wei-Peng (胡伟鹏)a, Deng Zi-Chen (邓子辰)ab
a School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an 710072, China; b State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China
Abstract This paper considers the multi-symplectic formulations of the generalized fifth-order KdV equation in Hamiltonian space. Recurring to the midpoint rule, it presents an implicit multi-symplectic scheme with discrete multi-symplectic conservation law to solve the partial differential equations which are derived from the generalized fifth-order KdV equation numerically. The results of the numerical experiments show that this multi-symplectic algorithm is good in accuracy and its long-time numerical behaviour is also perfect.
Received: 27 February 2008
Revised: 14 March 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10572119, 10772147
and 10632030), the Doctoral Program Foundation of Education Ministry
of China (Grant No 20070699028), the National Natural Science
Foundation of Shaanxi Province of China (Grant No 2006A07), the Open
Foundation of State Key Laboratory of Structural Analysis of
Industrial Equipment.
Cite this article:
Hu Wei-Peng (胡伟鹏), Deng Zi-Chen (邓子辰) Multi-symplectic method for generalized fifth-order KdV equation 2008 Chin. Phys. B 17 3923
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
