Multisoliton Solutions of the Complex Ginzburg-Landau Equation

From MaRDI portal
Publication:4492492

DOI10.1103/PhysRevLett.79.4047zbMath0947.35151MaRDI QIDQ4492492

Adrian Ankiewicz, Jose M. Soto-Crespo, Nail N. Akhmediev

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)




Related Items (26)

The construction of higher-order numerical approximation formula for Riesz derivative and its application to nonlinear fractional differential equations (I)Theory for the interaction of pure-quartic solitonsDynamics and numerical simulation of optical pulses in the passively mode-locked Er-doped fiber laserInduced waveform transitions of dissipative solitonsResonant collisions of high-order localized waves in the Maccari systemEvolution of cubic-quintic complex Ginzburg-Landau erupting solitons under the effect of third-order dispersion and intrapulse Raman scatteringSolitonic attractors in the coupled nonlinear Schrödinger equations with weak dissipationsDynamic behavior and stability analysis of nonlinear modes in the fourth-order generalized Ginzburg-Landau model with near \(\mathcal{PT}\)-symmetric potentialsControl of complex Ginzburg-Landau equation eruptions using intrapulse Raman scattering and corresponding traveling solutionsAnalytic study on bound solitons and soliton collisions for the coupled nonlinear Schrödinger equationsThe Dynamics of Interacting Multi-pulses in the One-dimensional Quintic Complex Ginzburg–Landau EquationStability of traveling pulses of cubic-quintic complex Ginzburg-Landau equation including intrapulse Raman scatteringHigh-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg-Landau equationStable bound states of pulses in an excitable mediumMutual transitions between stationary and moving dissipative solitonsDark soliton dynamics under the complex Ginzburg-Landau equationStationary pulses in two cubic-quintic Ginzburg-Landau equations coupled with a cross phase modulation termSimultaneous existence of a multiplicity of stable and unstable solitons in dissipative systemsPulse interaction via gain and loss dynamics in passive mode lockingTemporal Soliton “Molecules” in Mode-Locked Lasers: Collisions, Pulsations, and VibrationsOn Vegetation Clustering, Localized Bare Soil Spots and Fairy CirclesPointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equationSolitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic methodAmplitude death criteria for coupled complex Ginzburg-Landau systemsNonlinear waves in a quintic FitzHugh–Nagumo model with cross diffusion: Fronts, pulses, and wave trainsDISSIPATIVE SOLITONS: PRESENT UNDERSTANDING, APPLICATIONS AND NEW DEVELOPMENTS



Cites Work


This page was built for publication: Multisoliton Solutions of the Complex Ginzburg-Landau Equation