On the Whitham system for the radial nonlinear Schrödinger equation

DOI10.1111/sapm.12254zbMath1418.35332arXiv1807.06723OpenAlexW2962774721MaRDI QIDQ5227215

Igor Rumanov, Mark J. Ablowitz, Justin T. Cole

Publication date: 25 July 2019

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.06723

zbMATH Keywords

nonlinear wavesnonlinear opticswater waves and fluid dynamics

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) NLS equations (nonlinear Schrödinger equations) (35Q55) Measures on Boolean rings, measure algebras (28A60)

Related Items (6)

On the Periodic Solutions of the Davey-Stewartson Systems ⋮ Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory ⋮ On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation ⋮ A Study of Nonholonomic Deformations of Nonlocal Integrable Systems Belonging to the Nonlinear Schrödinger Family ⋮ Dispersive shock waves in three dimensional Benjamin-Ono equation ⋮ Whitham modulation theory for the defocusing nonlinear Schrödinger equation in two and three spatial dimensions

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