On the stability of the solitary waves to the rotation Benjamin‐Ono equation
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DOI: 10.1002/mma.5335
Abstract: In this paper, we study several aspects of solitary wave solutions of the rotation Benjamin-Ono equation. By solving a minimization problem on the line, we construct a family of even travelling waves $\psi_{c,\gamma}$. We also… read more here.
Keywords: rotation benjamin; ono equation; stability solitary; benjamin ono ... See more keywords
Existence and stability of solitary waves for the inhomogeneous NLS
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DOI: 10.1016/j.physd.2020.132691
Abstract: Abstract In this paper, we identify necessary and sufficient conditions for the existence of appropriately localized waves for the inhomogeneous semi-linear Schrodinger equation driven by the subLaplacian dispersion operators ( − Δ ) s ,… read more here.
Keywords: solitary waves; waves inhomogeneous; stability solitary; existence stability ... See more keywords
Numerical approximation to Benjamin type equations. Generation and stability of solitary waves
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DOI: 10.1016/j.wavemoti.2018.11.002
Abstract: This paper is concerned with the study, by computational means, of the generation and stability of solitary-wave solutions of generalized versions of the Benjamin equation. The numerical generation of the solitary-wave profiles is accurately performed… read more here.
Keywords: stability solitary; generation; solitary waves; generation stability ... See more keywords