Averaging for the 2d dispersion-managed NLS

Autor(es)

Campos, Luccas ; Murphy, Jason ; Van Hoose, Tim

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS; v. N/A, p. 16-pg., 2023-07-19.

Resumo

We establish global-in-time averaging for the L-2-critical dispersion-managed nonlinear Schrodinger equation in the fast dispersion management regime. In particular, in the case of nonzero average dispersion, we establish averaging with any subcritical data, while in the case of a strictly positive dispersion map, we obtain averaging for data in L-2. (AU)

• Processo FAPESP: 20/10185-1 - Comportamento local e global de soluções de equações dispersivas
• Beneficiário: Luccas Cassimiro Campos
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado