Year: 2012
Author: Ya-Feng Xiao, Hai-Li Xue
Journal of Atomic and Molecular Sciences, Vol. 3 (2012), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jams.062511.081411a
Journal of Atomic and Molecular Sciences, Vol. 3 (2012), Iss. 2 : pp. 136–151
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Lamé equation Lamé function multi-order exact solutions Jacobi elliptic function perturbation method nonlinear evolution equations.
Author Details
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