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Periodic Wave Solutions to a (3+1)-Dimensional Soliton Equation |
| WANG Jun-Min |
Department of Mathematics and Information, Henan University of Economics and Law, Zhengzhou 450002
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WANG Jun-Min 2012 Chin. Phys. Lett. 29 020203 |
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Abstract Two classes of periodic wave solutions to the (3+1)-dimensional soliton equation are derived by employing the Hirota bilinear method and theta function identities. These solutions are expressed in terms of Riemann theta functions of genus one and can be converted into an elliptic function format, both their long wave limit and extremum value are discussed in detail.
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02.30.Ik
03.65.Ge.
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Received: 24 September 2011
Published: 11 March 2012
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