Spectral theory for non-self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the focusing nonlinear Schrödinger equation with periodic boundary conditions
2025
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Publications
Soliton resolution and asymptotic stability of N-soliton solutions for the defocusing mKdV equation with a non-vanishing background
Published in Phys. D, 2025
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Spectral theory for self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the defocusing nonlinear Schrödinger equation with periodic boundary conditions
Submitted, 2024
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Local and global well-posedness of the Maxwell–Bloch system of equations with inhomogeneous broadening
Published in Adv. Nonlinear Anal., 2024
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On the Cauchy problem of the defocusing mKdV equation with finite density initial data: long-time asymptotics in soliton-less regions
Published in J. Differential Equations, 2023
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Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov–Ivanov equation under the zero/nonzero background
Published in Z. Angew. Math. Phys., 2021
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Inverse scattering transform for the Gerdjikov–Ivanov equation with nonzero boundary conditions
Published in Z. Angew. Math. Phys., 2020
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