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Volume 3, Issue 2
The New Multi-Order Exact Solutions of Some Nonlinear Evolution Equations

Ya-Feng Xiao & Hai-Li Xue

DOI: 10.4208/jams.062511.081411a

J. At. Mol. Sci., 3 (2012), pp. 136-151.

Published online: 2012-03

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  • Abstract

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.

  • Keywords

Lamé equation, Lamé function, multi-order exact solutions, Jacobi elliptic function, perturbation method, nonlinear evolution equations.

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COPYRIGHT: © Global Science Press

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@Article{JAMS-3-136, author = {Xiao , Ya-Feng and Xue , Hai-Li}, title = {The New Multi-Order Exact Solutions of Some Nonlinear Evolution Equations}, journal = {Journal of Atomic and Molecular Sciences}, year = {2012}, volume = {3}, number = {2}, pages = {136--151}, abstract = {

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.

}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.062511.081411a}, url = {http://global-sci.org/intro/article_detail/jams/8185.html} }
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 -

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.

Xiao , Ya-Feng and Xue , Hai-Li. (2012). The New Multi-Order Exact Solutions of Some Nonlinear Evolution Equations. Journal of Atomic and Molecular Sciences. 3 (2). 136-151. doi:10.4208/jams.062511.081411a
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