| Abstract: |
| We will present some new results on integrable systems of Camassa-Holm (CH) type. First, we will provide a nearly complete list of (1+1)-dimensional CH-type equations and propose several new extensions, including super and (2+1)-dimensional generalizations. Next, we will discuss their integrability properties and exact solutions. Finally, taking the modified CH equation as an example, we shall show how to construct smooth soliton solutions of the CH type equations by an approach of combining the Darboux transformation with the reciprocal transformation. |
|