TY - JOUR
T1 - The New Multi-Order Exact Solutions of Some Nonlinear Evolution Equations
AU - Xiao , Ya-Feng
AU - Xue , Hai-Li
JO - Journal of Atomic and Molecular Sciences
VL - 2
SP - 136
EP - 151
PY - 2012
DA - 2012/03
SN - 3
DO - http://doi.org/10.4208/jams.062511.081411a
UR - https://global-sci.org/intro/article_detail/jams/8185.html
KW - Lamé equation, Lamé function, multi-order exact solutions, Jacobi elliptic function, perturbation method, nonlinear evolution equations.
AB - <p style="text-align: justify;">Based on the Lamé equation and Jacobi elliptic function, the perturbation method is applied to some nonlinear evolution equations. And there many multi-order solutions are derived to these nonlinear evolution equations. These multi-order solutions correspond to the different periodic solutions, which can degenerate to the different soliton solutions. The method can be also applied to many other nonlinear evolution equations.</p>