Existence, stability, and dynamics of harmonically trapped one-dimensional multi-component solitary waves: The near-linear limit

DOI10.1063/1.4983999zbMath1370.35246arXiv1607.04598OpenAlexW2483711519MaRDI QIDQ5282829

Todd Kapitula, Haitao Xu, Panayotis G. Kevrekidis

Publication date: 17 July 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04598

zbMATH Keywords

Lyapunov-Schmidt methodBose-Einstein condensatesKrein signatureHamiltonian-Hopf bifurcation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (2)

Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes ⋮ Continuation and preconditioned imaginary time evolution methods for boson-fermion mixtures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment
• To the integrability of the system of two coupled nonlinear Schrödinger equations
• Spectral and dynamical stability of nonlinear waves
• Rotating matter waves in Bose-Einstein condensates
• The Defocusing Nonlinear Schrödinger Equation
• Bose-Einstein condensates in the presence of a magnetic trap and optical lattice
• Excited states in the large density limit: a variational approach
• Vortex rings in classical and quantum systems
• Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells

This page was built for publication: Existence, stability, and dynamics of harmonically trapped one-dimensional multi-component solitary waves: The near-linear limit