Pfaffianization of the discrete three-dimensional three wave interaction equation
| Autor: | Jun Xiao Zhao, Gegenhasi, Xing-Biao Hu, Hon Wah Tam |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Numerical Analysis
Mathematics::Combinatorics Algebra and Number Theory Gram-type pfaffian Mathematical analysis Pfaffian Wave equation Discrete Gram-type determinant solution Pfaffianization Discrete Mathematics and Combinatorics Geometry and Topology Soliton Discrete three-dimensional three wave equation Interaction equation Mathematics Three dimensional model |
| Zdroj: | Linear Algebra and its Applications. 407:277-295 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2005.05.012 |
| Popis: | We first present the discrete Gram-type determinant solution to the discrete three-dimensional three wave interaction equation. Then a pfaffianized version of the discrete three-dimensional three wave interaction equation is produced by using Hirota and Ohta’s pfaffianization procedure. The Gram-type pfaffian solution to the resulting system is also given. In addition, we obtain the soliton solutions of the resulting system as an example of the Gram-type pfaffian solution. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect