Abstract
Abundant polynomial type conservation laws are constructed for a seventh order nonlinear evolution equation with six arbitrary parameters. From the parameters constraints that leading to the existence of conserved densities, a new unnamed seventh order KdV type equation that may be integrable is reported. By introducing nonlinear transformation, the new soliton solution as well as the solitary wave solution to the new unnamed seventh order KdV type equation are obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 259-266 |
| Number of pages | 8 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 20 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2004 |