Periodic loop solutions of the CH-DP equation

Shaolong Xie  and Rongchuan Du

doi:10.17485/ijst/2010/v3i3.4

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Periodic loop solutions of the CH-DP equation

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2010/v3i3.4

Year: 2010, Volume: 3, Issue: 3, Pages: 227-230

Original Article

Periodic loop solutions of the CH-DP equation

Shaolong Xie¹ and Rongchuan Du^2*

¹ Dept. of Mathematics, Yuxi Normal University, Yuxi, Yunnan, China- 653100.
² Statistics & Mathematics College, Yunnan Univ. of Finance and Economics, Kunming, Yunnan, China-650221.
[email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Periodic loop solutions of the CH-DP equation are investigated by using the dynamical system theory. The solutions are characterized by two parameters. The periodic loops existent conditions are found. Explicit analytical periodic loop solutions of CH-DP equation are derived.
Keywords: Cammasa-Holm equation, CH-DP equation, traveling wave system, singular point, periodic loops.