Year: 2018
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 3 : pp. 477–497
Abstract
The Hirota bilinear method is applied to a generalised (3 + 1)-dimensional nonlinear evolution equation. Using the Riemann theta function, we construct periodic wave solutions of the Eq. (1.1) and discuss their properties. Graphic examples show the propagation of the corresponding waves for different sets of parameters. We also study the asymptotic of periodic waves and their relation with solution solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.221017.250218
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 3 : pp. 477–497
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: (3 + 1)-dimensional generalised nonlinear evolution equation exact solutions solitary waves periodic waves asymptotic properties.
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