## Journal of Applied Mathematics

### Exact Solutions for ($3+1$)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation

#### 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.

#### Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 142027, 8 pages.

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394808272

Digital Object Identifier
doi:10.1155/2013/142027

Mathematical Reviews number (MathSciNet)
MR3138966

Zentralblatt MATH identifier
06950533

#### Citation

Wang, Yan; Wang, Zhenhui. Exact Solutions for ( $3+1$ )-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation. J. Appl. Math. 2013 (2013), Article ID 142027, 8 pages. doi:10.1155/2013/142027. https://projecteuclid.org/euclid.jam/1394808272

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