Large stable oscillations due to Hopf bifurcations in amplitude dynamics of colliding soliton sequences

DOI10.1016/j.cnsns.2018.03.003OpenAlexW2628738847WikidataQ129986810 ScholiaQ129986810MaRDI QIDQ2207935

Debananda Chakraborty, Avner Peleg

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.03429

zbMATH Keywords

Hopf bifurcationsnonlinear Schrödinger equationoptical solitonsLotka-Volterra modelsnonlinear optical waveguides

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Stabilizing solitons of the cubic-quintic nonlinear Schrödinger equation by frequency-dependent linear gain-loss and delayed Raman response

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