Abstract
By means of the homogeneous balance principle, a nonlinear transformation to the well-known breaking soliton equation with physical interest was given. The original equation was turned into a homogeneity differential equation with this nonlinear transformation. By solving the homogeneity equation via the simplified Hirota method and applying the nonlinear transformation, one-soliton, two-soliton and three-soliton solutions as well as some other types of explicit solutions to the breaking soliton equation were obtained with the assistance of Maple.
| Original language | English |
|---|---|
| Pages (from-to) | 143-147 |
| Number of pages | 5 |
| Journal | Journal of Shanghai University |
| Volume | 7 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 2003 |
Keywords
- simplified Hirota method
- soliton solution
- the breaking soliton equation
- the homogeneous balance principle