Can Parity‐Time‐Symmetric Potentials Support Families of Non‐Parity‐Time‐Symmetric Solitons?

DOI10.1111/SAPM.12032zbMath1298.35208arXiv1309.1652OpenAlexW1521194144MaRDI QIDQ5166483

Jianke Yang

Publication date: 27 June 2014

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

Full work available at URL: https://arxiv.org/abs/1309.1652

zbMATH Keywords

solitary wavesPT-symmetric potentialnonlinear Schrodinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (8)

Stability of soliton families in nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials ⋮ Exponential Asymptotics for Solitons in PT-Symmetric Periodic Potentials ⋮ On the Thomas-Fermi Approximation of the Ground State in a PT-Symmetric Confining Potential ⋮ Two-dimensional fractional \(\mathcal{PPT}\)-symmetric cubic-quintic NLS equation: double-loop symmetry breaking bifurcations, ghost states and dynamics ⋮ Continuous families of solitary waves in non-symmetric complex potentials: a Melnikov theory approach ⋮ Dynamics of PT-asymmetric multi-peak solitons with complex potentials ⋮ Bifurcation of Soliton Families from Linear Modes in Non‐‐Symmetric Complex Potentials ⋮ Higher-dimensional soliton generation, stability and excitations of the \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations

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• Classification of Solitary Wave Bifurcations in Generalized Nonlinear Schrödinger Equations

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