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arXiv · 1511.03590

The effect of the fifth-order nonlinearity on the existence of bright solitons below the modulation instability threshold

I. S. Gandzha·Yu. V. Sedletsky
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Abstract

We analyze three different high-order nonlinear Schrödinger equation (HONLSE) models that have been used in the literature to describe the evolution of slowly modulated gravity waves on the surface of ideal finite-depth fluid. We demonstrate that the inclusion of the fifth-order nonlinear term to the HONLSE model introduces only a small correction to the amplitude of the bright HONLSE soliton solutions obtained without this term. Such soliton slutions behave as quasi-solitons in this more general case.

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I. S. Gandzha, Yu. V. Sedletsky. 2015-11-11. The effect of the fifth-order nonlinearity on the existence of bright solitons below the modulation instability threshold. https://arxiv.org/abs/1511.03590

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