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2013 Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation
Yan Wang, Zhenhui Wang
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/142027

Abstract

By employing Hirota bilinear method, we mainly discuss the (3+1)-dimensional potential-YTSF equation and discrete KP equation. For the former, we use the linear superposition principle to get its N exponential wave solutions. In virtue of some Riemann theta function formulas, we also construct its quasiperiodic solutions and analyze the asymptotic properties of these solutions. For the latter, by using certain variable transformations and identities of the theta functions, we explicitly investigate its periodic waves solutions in terms of one-theta function and two-theta functions.

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Yan Wang. Zhenhui Wang. "Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/142027

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950533
MathSciNet: MR3138966
Digital Object Identifier: 10.1155/2013/142027

Rights: Copyright © 2013 Hindawi

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