arXiv Open Access 2022

Effective Dynamics of the Vector Nonlinear Schrödinger Equations on Large Domains

Katherine Zhiyuan Zhang

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Abstrak

We consider the vector nonlinear Schrödinger equation posed on the box with periodic boundary conditions, and derive the continuous resonant (CR) equation that describes the effective dynamics for large box size and small data size over very large time-scales. Moreover, we investigate various properties of the continuous resonant equations, including the Hamiltonian structure and the well-posedness, etc..

Topik & Kata Kunci

math.AP math.CA

Penulis (1)

Katherine Zhiyuan Zhang

Format Sitasi

APA MLA BibTeX

Zhang, K.Z. (2022). Effective Dynamics of the Vector Nonlinear Schrödinger Equations on Large Domains. https://arxiv.org/abs/2201.00861

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓