Three-dimensional Korteweg-de Vries equation and traveling wave solutions
The three-dimensional power Korteweg-de Vries equation [ut+unux+uxxx]x+uyy+uzz=0, is considered. Solitary wave solutions for any positive integer n and cnoidal wave solutions for n=1 and n=2 are obtained. The cnoidal wave solutions are shown to be represented as infinite sums of solitons by using F...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200004440 |
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| Summary: | The three-dimensional power Korteweg-de Vries equation
[ut+unux+uxxx]x+uyy+uzz=0, is
considered. Solitary wave solutions for any positive integer n and cnoidal wave solutions for n=1 and n=2 are obtained. The
cnoidal wave solutions are shown to be represented as infinite sums
of solitons by using Fourier series expansions and Poisson's
summation formula. |
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| ISSN: | 0161-1712 1687-0425 |