# Deep-water internal solitary waves near critical density ratio

@article{Agafontsev2005DeepwaterIS, title={Deep-water internal solitary waves near critical density ratio}, author={D. Agafontsev and F. Dias and E. Kuznetsov}, journal={Physica D: Nonlinear Phenomena}, year={2005}, volume={225}, pages={153-168} }

We study both supercritical and subcritical bifurcations of internal solitary waves propagating along the interface between two ideal fluids. We derive a generalized nonlinear Schrodinger equation that describes solitons near the critical density ratio corresponding to the transition from a subcritical to a supercritical bifurcation. This equation takes into account gradient terms associated with the four-wave interactions, the so-called Lifshitz term and a nonlocal term analogous to that first… CONTINUE READING

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