## Communicated by Y. Xu Multiple soliton solutions for the (2+1)-dimensional Sawada-Kotera and the Caudrey-Dodd-Gibbon equations are formally derived. Moreover, multiple singular soliton solutions are obtained for each equation. The simplified form of Hirota's bilinear method is employed to condu
On quasi-periodic solutions of the 2+1 dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation
✍ Scribed by Cewen Cao; Yongtang Wu; Xianguo Geng
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 79 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0375-9601
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✦ Synopsis
The 2 q 1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation is decomposed into systems of integrable ordinary differential equations resorting to the nonlinearization of Lax pairs. The Abel-Jacobi coordinates are introduced to straighten the flows, from which quasi-periodic solutions of the 2 q 1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation are obtained in terms of Riemann theta functions.
📜 SIMILAR VOLUMES
A new 2 q 1 dimensional modified Korteweg-de Vries equation is proposed and decomposed into the first two members in the well-known Kaup-Newell hierarchy, which are reduced further into integrable ordinary differential equations in the invariant set produced by the stationary Kaup-Newell equation. T