| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4629881 | Applied Mathematics and Computation | 2012 | 7 Pages |
Abstract
By means of an new auxiliary equation method based on mapping method and the second-order linear ordinary differential equation, some types of variable separation solutions with two arbitrary lower dimensional functions of the 2+1 dimensional Ablowitz-Kaup-Newell-Segur system are derived. Based on the derived variable separation excitation, some new special types of non-localized solutions such as doubly periodic wave and line periodic wave are constructed by choosing appropriate functions. In addition, we also investigate the annihilation phenomenon and non-elastic interaction graphically.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xian-Jing Lai, Mei-zhen Jin, Jie-Fang Zhang,