Instability of solitary waves for nonlinear Schr\"odinger equations of derivative type
Masahito Ohta
TL;DR
This paper investigates the stability and instability of solitary wave solutions in derivative nonlinear Schrödinger equations, providing insights into their dynamic behavior and conditions for stability.
Contribution
It offers new analysis on the orbital stability and instability criteria specific to derivative nonlinear Schrödinger equations.
Findings
Identification of conditions leading to stability
Conditions causing instability of solitary waves
Enhanced understanding of wave dynamics in derivative NLS
Abstract
We study the orbital stablity and instability of solitary wave solutions for nonlinear Schr\"odinger equations of derivative type.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Nonlinear Photonic Systems