New periodic and soliton solutions of nonlinear evolution equations

摘要

In this paper, the tanh and sine–cosine methods are used to construct exact periodic and soliton solutions of nonlinear evolution equations arising in mathematical physics. Many new families of exact travelling wave solutions of the generalized Hirota–Satsuma coupled KdV system, generalized-Zakharov equations and (2 + 1)-dimensional Broer–Kaup–Kupershmidt system are successfully obtained. The obtained solutions include solitons, kinks and plane periodic solutions. These solutions may be important of significance for the explanation of some practical physical problems.