TY - JOUR ID - TI - Imperfect Bifurcation of Cammasa-Holm Equation using AU - Wisam M. Sadeg AU - Mudhir A. Abdul Hussain PY - 2019 VL - 45 IS - 2A SP - 279 EP - 288 JO - Journal of Basrah Researches (Sciences) مجلة ابحاث البصرة ( العلميات) SN - 18172695 2411524X AB - In this paper, we are studying imperfect bifurcation of the Camassa-Holm equation using the local method of Lyapunov-Schmidt.We showed that the bifurcation equation corresponding to the Camassa- Holm equation is given by the nonlinear system of two equations. The bifurcation diagram of the bifurcation equation showed that there are zero, two or four real solutions. We considered these solutions as solutions of a dynamical system, then we draw the phase portrait corresponding to the system.

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