Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations

Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations are developed. Unlike the standard Degasperis-Procesi and Camassa-Holm equations, where multi-peakon solutions arise, the modification caused a change in the characteristic of these peakon solutions and changed it to bell-shaped solitons. The tanh method and the sine-cosine method are used to achieve this goal. (c) 2005 Elsevier B.V. All rights reserved.