Six wave interaction equations in finite-depth gravity waves with surface tension
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2023.128
Abstract: Abstract Three wave resonant triad interactions in two space and one time dimensions form a well-known system of first-order quadratically nonlinear evolution equations that arise in many areas of physics. In deep water waves, they… read more here.
Keywords: gravity; three wave; wave interaction; interaction equations ... See more keywords
Two-soliton solutions and rational solutions of the wave resonant-interaction equations with higher-order effects
Sign Up to like & getrecommendations! Published in 2025 at "Chinese Physics B"
DOI: 10.1088/1674-1056/ae1dee
Abstract: In this paper, we focus on the wave resonant-interaction equations incorporating higher-order effects. To explore their exact solution structures and dynamic properties, we employ the Darboux-Dressing transformation to construct two-soliton solutions and rational solutions with… read more here.
Keywords: wave resonant; higher order; order effects; interaction equations ... See more keywords