New binary travelling-wave periodic solutions for the modified KdV equation |
| |
Authors: | Zhenya Yan |
| |
Institution: | Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080, PR China |
| |
Abstract: | In this Letter, the modified Korteweg-de Vries (mKdV) equations with the focusing (+) and defocusing (−) branches are investigated, respectively. Many new types of binary travelling-wave periodic solutions are obtained for the mKdV equation in terms of Jacobi elliptic functions such as sn(ξ,m)cn(ξ,m)dn(ξ,m) and their extensions. Moreover, we analyze asymptotic properties of some solutions. In addition, with the aid of the Miura transformation, we also give the corresponding binary travelling-wave periodic solutions of KdV equation. |
| |
Keywords: | 05 45 Yv 02 30 Ik 03 65 Ge 02 70 Wz |
本文献已被 ScienceDirect 等数据库收录! |
|