Abstract
In this paper, we first present the Casorati and Grammian determinant solutions to the (2 + 1)-dimensional Gardner equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the Gardner equation. Moreover, Gramm-type pfaffian solutions to the pfaffianized system are proposed.
Original language | English |
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Pages (from-to) | 989-1001 |
Number of pages | 13 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 330 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Jun 2007 |
Scopus Subject Areas
- Analysis
- Applied Mathematics
User-Defined Keywords
- Casorati solution
- Grammian determinant
- Pfaffian
- Soliton