Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024815 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 11 Pages |
Abstract
This paper investigates general mild traveling solutions and the stationary solution of the higher-order Camassa-Holm equation. By argument of regularity and conservation, we construct admitted traveling solutions of the second order and the third order Camassa-Holm equations. Furthermore, evolution procedure and evolution properties of a traveling solution are discussed; the discussion reveals the periodic behavior of the traveling solution curve itself and its curvature. These investigations are valuable to understand forming and evolution of a pattern.
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Authors
Danping Ding,