Bifurcations and stability of internal solitary waves

D. S. Agafontsev, F. Dias, E. A. Kuznetsov

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1 Citation (Scopus)


We study both supercritical and subcritical bifurcations of internal solitary waves propagating along the interface between two deep ideal fluids. We derive a generalized nonlinear Schrödinger equation to describe solitons near the critical density ratio corresponding to transition from subcritical to supercritical bifurcation. This equation takes into account gradient terms for the four-wave interactions (the so-called Lifshitz term and a nonlocal term analogous to that first found by Dysthe for pure gravity waves), as well as the six-wave nonlinear interaction term. Within this model, we find two branches of solitons and analyze their Lyapunov stability.

Original languageEnglish
Pages (from-to)201-205
Number of pages5
JournalJETP Letters
Issue number5
Publication statusPublished - May 2006
Externally publishedYes


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