Recurrence in the high-order nonlinear Schrödinger equation: A low-dimensional analysis.
basic_science · Level V
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- Record sourced from PubMed, PMID 29347121.
- Also identified by DOI 10.1103/PhysRevE.96.012222.
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Abstract
We study a three-wave truncation of the high-order nonlinear Schrödinger equation for deep-water waves (also named Dysthe equation). We validate the model by comparing it to numerical simulation; we distinguish the impact of the different fourth-order terms and classify the solutions according to their topology. This allows us to properly define the temporary spectral upshift occurring in the nonlinear stage of Benjamin-Feir instability and provides a tool for studying further generalizations of this model.