On Maxwell-Bloch Systems with Inhomogeneous Broadening and One-sided Nonzero Background

Abeya, Asela; Biondini, Gino; Kovačič, Gregor; Prinari, Barbara

doi:10.1007/s00220-024-05054-y

Commun. Math. Phys.

2024

DOI: 10.1007/s00220-024-05054-y

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On Maxwell-Bloch Systems with Inhomogeneous Broadening and One-sided Nonzero Background

Asela Abeya,

Gino Biondini,

Gregor Kovačič

et al.

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2024

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Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening

Biondini,

Prinari,

Zhang

2024

Advances in Nonlinear Analysis

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The Maxwell-Bloch system of equations with inhomogeneous broadening is studied, and the local and global well-posedness of the corresponding initial-boundary value problem is established by taking advantage of the integrability of the system and making use of the corresponding inverse scattering transform (IST). A key ingredient in the analysis is the L 2 {L}^{2} -Sobolev bijectivity of the direct and IST established by Xin Zhou for the focusing Zakharov-Shabat problem.

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Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening

Biondini,

Prinari,

Zhang

2024

Advances in Nonlinear Analysis

View full text Add to dashboard Cite

show abstract

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On Maxwell-Bloch Systems with Inhomogeneous Broadening and One-sided Nonzero Background

Cited by 1 publication

References 60 publications

Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening

Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening

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