The moment of instability for internal solitary waves

2015/03/03 by Andreas Klaiber, Klaiber, Andreas
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #35B35 #35Q31 #76B55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing #math.AP #msc:35B35 #msc:35Q31 #msc:76B55

paper · pdf · doi:10.48550/arxiv.1503.00857

openalex publication_date 2015/03/03 · arxiv created 2015/03/04 · arxiv updated 2015/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we define a moment of instability m(c) for internal solitary waves in continuously stratified fluids, which seems not to have been done before. To underline the suitability of the proposed moment of instability, we identify the relation m"(c)=0 as a formal Fredholm condition, and we show that m(c) displays a definite sign for small-amplitude waves.

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