×

zbMATH — the first resource for mathematics

The homotopy analysis method for solving the nonlinear evolution equations in mathematical physics. (English) Zbl 1236.35161
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.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
65L99 Numerical methods for ordinary differential equations
47J35 Nonlinear evolution equations
PDF BibTeX XML Cite