Orbital stability of a soliton solution for the derivative nonlinear Schrödinger equation in the $L^{2}$ space

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发表日期：

2025年4月5日

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Yiling Yang,
Engui Fan,
Yue Liu

摘要

In this paper, we establish the orbital stability of a soliton solution for the derivative nonlinear Schrödinger equation under perturbations in $L^2(\mathbb {R})$ $L^{2} (R)$ . We demonstrate this stability by utilizing the Bäcklund transformation associated with the Lax pair and by applying the first conservation quantity in $L^2(\mathbb {R}).$ $L^{2} (R) .$

Orbital stability of a soliton solution for the derivative nonlinear Schrödinger equation in the \(L^{2}\) space

摘要