Whitham modulation theory and two-phase instabilities for generalized nonlinear Schrödinger equations with full dispersion

DOI10.1137/23m1603078zbMath1546.35213MaRDI QIDQ6598426

Patrick Sprenger, Boaz Ilan, M. A. Hoefer

Publication date: 5 September 2024

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

multiple scalesmodulation theorymodulational instability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Ill-posed problems for PDEs (35R25) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Traveling wave solutions (35C07) Time-dependent Schrödinger equations and Dirac equations (35Q41) Euler equations (35Q31)

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