Continuous families of solitary waves in non-symmetric complex potentials: a Melnikov theory approach

DOI10.1016/j.chaos.2018.11.021zbMath1442.35064arXiv1808.10197OpenAlexW2889479157WikidataQ128897485 ScholiaQ128897485MaRDI QIDQ2201446

Yannis Kominis, Anastasios Bountis, Panayotis G. Kevrekidis, Dimitrios J. Frantzeskakis, Jesús Cuevas

Publication date: 29 September 2020

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.10197

zbMATH Keywords

solitary wavescomplex potentialsPT-symmetrysymmetry breakinghomoclinic bifurcationsMelnikov's method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08)

Related Items (4)

On nonexistence of continuous families of stationary nonlinear modes for a class of complex potentials ⋮ Dynamic behavior and stability analysis of nonlinear modes in the fourth-order generalized Ginzburg-Landau model with near \(\mathcal{PT}\)-symmetric potentials ⋮ Dissipative optical solitons in asymmetric Rosen-Morse potential ⋮ Stable modes of derivative nonlinear Schrödinger equation with super-Gaussian and parabolic potential

Uses Software

• Matlab
• bvp4c

Cites Work

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• Bifurcation of Soliton Families from Linear Modes in Non‐‐Symmetric Complex Potentials
• Stability of waves in perturbed Hamiltonian systems

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