The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution. This provides further evidence that the homotopy analysis method is a powerful tool for finding excellent approximations to nonlinear solitary waves.
|Number of pages||9|
|Journal||Numerical Methods for Partial Differential Equations|
|Publication status||Published - 2009|
- short-pulse equation
- homotopy analysis method
- solitary-wave solution
- series solution