On the stability of solitary wave solutions of the fifth-order KdV equation
β Scribed by A.V. Buryak; A.R. Champneys
- Book ID
- 108444882
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 399 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
For the fifth-order Korteweg-de Vries equation it is demonstrated that the Hamiltonian is bounded from below for fixed momentum. If there exists a solitary wave solution which realizes this minimum, then it is stable with respect to not only small perturbations but also finite ones. The proof is bas
In this paper, we consider orbital stability of solitary waves with nonzero asymptotic value for the compound KdV equation. We present six explicit exact solitary waves with nonzero asymptotic value for this equation. To study their orbital stability, we utilize a translation transformation. Further