N-soliton solutions of a system of coupled KdV equations
β Scribed by BaoQun Lu
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 85 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0375-9601
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π 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
The perturbed KdV equation through OΓ°eΓ is investigated. The Hirota's bilinear method is mainly used in this work. The study highlights the multiple-soliton solutions and the multiple singular soliton solutions of the perturbed KdV equation.
## 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