Perturbations of dark solitons
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Publication:5199465
DOI10.1098/rspa.2010.0663zbMath1228.35213arXiv1008.3756OpenAlexW3098832882MaRDI QIDQ5199465
Mark J. Ablowitz, Sean Nixon, Theodoros P. Horikis, Dimitrios J. Frantzeskakis
Publication date: 16 August 2011
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.3756
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
Related Items (9)
Collapse for the higher-order nonlinear Schrödinger equation ⋮ Quasi-integrability in the modified defocusing non-linear Schrödinger model and dark solitons ⋮ A Korteweg-de Vries description of dark solitons in polariton superfluids ⋮ Approximate bright-soliton solution of the higher-order nonlinear Schrödinger equation ⋮ Dynamics of a higher-order Ginzburg-Landau-type equation ⋮ Dark soliton dynamics under the complex Ginzburg-Landau equation ⋮ Quasi-integrable non-linear Schrödinger models, infinite towers of exactly conserved charges and bright solitons ⋮ Interactions of bright and dark solitons with localized PT-symmetric potentials ⋮ Inverse Scattering Transform for the Defocusing Manakov System with Nonzero Boundary Conditions
Cites Work
- Asymptotic Analysis of Pulse Dynamics in Mode-Locked Lasers
- Shelves and the Korteweg-de Vries equation
- Perturbations of Solitons and Solitary Waves
- A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
- A direct perturbation theory for dark solitons based on a complete set of the squared Jost solutions
- A perturbation method for dark solitons based on a complete set of the squared Jost solutions
- A direct approach to studying soliton perturbations
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