| Abstract: | We investigate two interesting (1+1)-dimensional nonlinear partial differential evolution equations (NLPDEEs), namely the
nonlinear dispersion equation with compact structures and the generalized Camassa–Holm (CH) equation describing the propagation
of unidirectional shallow water waves on a flat bottom, and arising in the study of a certain non-Newtonian fluid. Using an
interesting technique known as the sine-cosine method for investigating travelling wave solutions to NLPDEEs, we construct
many new families of wave solutions to the previous NLPDEEs, amongst which the periodic waves, enriching the wide class of
solutions to the above equations. |
