共查询到20条相似文献,搜索用时 15 毫秒
1.
Ying Zhang 《Mathematical Methods in the Applied Sciences》2013,36(13):1734-1745
In this paper, we consider the global existence of weak solutions for a two‐component μ‐Camassa–Holm system in the periodic setting. Global existence for strong solutions to the system with smooth approximate initial value is derived. Then, we show that the limit of approximate solutions is a global‐in‐time weak solution of the two‐component μ‐Camassa–Holm system. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
2.
In this paper we construct the conservation laws for the Camassa–Holm equation, the Dullin–Gottwald–Holm equation (DGH) and the generalized Dullin–Gottwald–Holm equation (generalized DGH). The variational derivative approach is used to derive the conservation laws. Only first order multipliers are considered. Two multipliers are obtained for the Camassa–Holm equation. For the DGH and generalized DGH equations the variational derivative approach yields two multipliers; thus two conserved vectors are obtained. 相似文献
3.
By using the bifurcation theory of planar dynamical systems to a generalized Camassa–Holm equation
mt+c0ux+umx+2mux=-γuxxx