The ill-posedness of the (non-)periodic traveling wave solution for the deformed continuous Heisenberg spin equation

The ill-posedness of the (non-)periodic traveling wave solution for the deformed continuous Heisenberg spin equation

Based on an equivalent derivative non-linear Schrödinger equation, we derive some periodic and non-periodic two-parameter solutions of the deformed continuous Heisenberg spin (DCHS) equation. The ill-posedness of these solutions is demonstrated through Fourier integral estimates in the Sobolev space...

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Bibliographic Details
Main Authors: Zhong Penghong, Chen Xingfa, Chen Ye
Format: Article
Language:English
Published: De Gruyter 2025-02-01
Series:Open Mathematics
Subjects:
heisenberg spin
soliton
ill-posedness
fourier integral
35q60
35b35
Online Access:https://doi.org/10.1515/math-2024-0103
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