Analysis of a nonlinear surface wind waves model via Lie group method
This article focuses on two aspects. Firstly, symmetry analysis is performed for a nonlinear equation which can model surface wind wave patterns in nature. As a byproduct, the similarity reductions and exact solutions of the equation are constructed based on the optimal systems. Secondly, the ex...
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Format: | Article |
Language: | English |
Published: |
Texas State University
2016-08-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2016/228/abstr.html |
Summary: | This article focuses on two aspects. Firstly, symmetry analysis is performed
for a nonlinear equation which can model surface wind wave patterns in nature.
As a byproduct, the similarity reductions and exact solutions of the equation
are constructed based on the optimal systems.
Secondly, the explicit solutions are considered by the power series method.
Moreover, the convergence of the power series solutions are shown. |
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ISSN: | 1072-6691 |