A Normal Form for Hamiltonian--Hopf Bifurcations in Nonlinear Schrödinger Equations with General External Potentials
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Publication:2794983
DOI10.1137/15M1042619zbMath1342.35360arXiv1510.00949OpenAlexW2302058019MaRDI QIDQ2794983
Publication date: 18 March 2016
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.00949
PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08)
Related Items (7)
Nonlinear wave dynamics near phase transition in \(\mathcal{PT}\)-symmetric localized potentials ⋮ Stability of soliton families in nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials ⋮ Rogue waves and their patterns in the vector nonlinear Schrödinger equation ⋮ Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential ⋮ Periodic traveling waves in a generalized BBM equation with weak backward diffusion and dissipation terms ⋮ Numerical analyses for spectral stability of solitary waves near bifurcation points ⋮ Dynamics of travelling waves to KdV-Burgers-Kuramoto equation with Marangoni effect perturbation
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