Pole dynamics of the quadratic derivative Schrödinger equation

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초록

We investigate a special form of solution to the quadratic derivative Schrödinger equation. The soliton interaction dynamics is described by the system of ordinary differential equations. After reviewing general facts and results, we study the case of N=2,3,4,5. We construct a finite time collapse solution and also study self-similar solutions.

키워드

CollapsePole dynamicsQuadratic derivative SchrödingerSelf-similarCOMPLEX SINGULARITIESCONDENSATIONHERMITEZEROS
제목
Pole dynamics of the quadratic derivative Schrödinger equation
저자
Jin, SeokhoYim, JihyunHuh, Hyungjin
DOI
10.1016/j.jmaa.2026.130782
발행일
2026-11
유형
Article
저널명
Journal of Mathematical Analysis and Applications
563
1