Exact peakon, compacton, solitary wave, and periodic wave solutions for a generalized KdV equation (Q473870)
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scientific article; zbMATH DE number 6372537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact peakon, compacton, solitary wave, and periodic wave solutions for a generalized KdV equation |
scientific article; zbMATH DE number 6372537 |
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Exact peakon, compacton, solitary wave, and periodic wave solutions for a generalized KdV equation (English)
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24 November 2014
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Summary: We employ the approaches of both dynamical system and numerical simulation to investigate a generalized KdV equation, which is presented by \textit{J. L. Yin} [Ukr. Math. J. 63, No. 8, 1234--1240 (2012); translation from Ukr. Mat. Zh. 63, No. 8, 1071--1077 (2011; Zbl 1256.35125)]. Some peakon, compacton, solitary wave, smooth periodic wave, and periodic cusp wave solutions are obtained, and the planar graphs of the compactons and the periodic cusp waves are simulated.
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