Grammian determinant solution and Pfaffianization for a \((3+1)\)-dimensional soliton equation. (English) Zbl 1183.35237
Summary: Based on the Pfaffian derivative formulae, a Grammian determinant solution for a \((3+1)\)-dimensional soliton equation is obtained. Moreover, the Pfaffianization procedure is applied for the equation to generate a new coupled system. At last, a Gram-type Pfaffian solution to the new coupled system is given.
MSC:
| 35Q51 | Soliton equations |
| 35A30 | Geometric theory, characteristics, transformations in context of PDEs |
