“Leapfrogging” solitons in a system of coupled KdV equations
✍ Scribed by Boris A. Malomed
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 669 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0165-2125
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📜 SIMILAR VOLUMES
The extended homogeneous balance method is used to construct exact traveling wave solutions of a generalized Hirota-Satsuma coupled KdV equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. M
## a b s t r a c t In this work, we study a system of coupled KdV equations. The Hirota's bilinear method is applied to show that this system is completely integrable. Multiple-soliton solutions and multiple singular soliton solutions are derived for this system. The resonance phenomenon is examin