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On \(L^2\)-orbital stability of Hasimoto soliton solutions for the Hirota equation on the line

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Publication:6671677
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DOI10.1016/j.jde.2024.11.046MaRDI QIDQ6671677

Gaozhan Li, En-gui Fan, Yiling Yang

Publication date: 27 January 2025

Published in: Journal of Differential Equations (Search for Journal in Brave)



zbMATH Keywords

orbital stabilityHirota equationDarboux transformHasimoto soliton


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51)








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