Zayed, E. M. E.; Abdel Rahman, H. M. The homotopy analysis method for solving the nonlinear evolution equations in mathematical physics. (English) Zbl 1236.35161 Commun. Appl. Nonlinear Anal. 18, No. 3, 53-70 (2011). Summary: By means of the homotopy analysis method (HAM) the exact solutions of the \((1+1)\)-dimensional nonlinear combined KdV-MKdV equation and the \((1+1)\)-dimensional Jaulent-Miodek (JM) equations are exactly obtained. HAM is a powerful and easy to use the analytic tool for the nonlinear evolution equations. The validity of this method is proven successful by applying it to these nonlinear equations. Cited in 1 Document MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 65L99 Numerical methods for ordinary differential equations 47J35 Nonlinear evolution equations Keywords:homotopy analysis method; nonlinear evolution equations; exact solutions PDF BibTeX XML Cite \textit{E. M. E. Zayed} and \textit{H. M. Abdel Rahman}, Commun. Appl. Nonlinear Anal. 18, No. 3, 53--70 (2011; Zbl 1236.35161)