arXiv
Open Access
2017
Stability criterion for solitons of the ZK-type equations
E. A. Kuznetsov
Abstrak
Early results concerning the linear stability of the solitons in equation of the KDV-type \cite{KUZNETSOV1984314} are generalized to solitons describing by the ZK-type equation. The linear stability criterion for ground solitons in the Vakhitov-Kolokolov form is derived for such equations with arbitrary nonlinearity. For the power nonlinearity the instability criterion coincides with the condition of the Hamiltonian unboundedness from below. The latter represents the main feature for appearance of collapse in such systems.
Topik & Kata Kunci
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E. A. Kuznetsov
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2017
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- en
- Sumber Database
- arXiv
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- Open Access ✓