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
Multiple soliton solutions for (2 + 1)-dimensional Sawada–Kotera and Caudrey–Dodd–Gibbon equations
✍ Scribed by Abdul-Majid Wazwaz
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 118 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1460
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✦ Synopsis
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 conduct this analysis.
📜 SIMILAR VOLUMES
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A method is proposed by extending the linear traveling wave transformation into the nonlinear transformation with the (G 0 /G)-expansion method. The non-traveling wave solutions with variable separation can be constructed for the (2 + 1)-dimensional Broer-Kaup equations with variable coefficients vi