Dynamics of the parametrically driven NLS solitons beyond the onset of the oscillatory instability
From MaRDI portal
Publication:4230955
DOI10.1088/0951-7715/12/1/007zbMath0916.35107OpenAlexW2012184471MaRDI QIDQ4230955
N. V. Alexeeva, Dmitry E. Pelinovsky, Igor V. Barashenkov
Publication date: 11 April 1999
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/51349210f0b421c8f5a46489a144666c68421fe6
bifurcationundamped casedamped nonlinear Schrödinger equationstrongly dissipative caseweakly dissipative case
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Bifurcations in context of PDEs (35B32)
Related Items
Perturbation theory for nearly integrable multicomponent nonlinear PDEs ⋮ On the Barashenkov-Bogdan-Zhanlav solitons and their stability ⋮ Taming Spatiotemporal Chaos by Impurities in the Parametrically Driven Damped Nonlinear Schrödinger Equation ⋮ Renormalization group reduction of pulse dynamics in thermally loaded optical parametric oscillators ⋮ Parametrically excited nonlinear waves and their localizations ⋮ Soliton-radiation coupling in the parametrically driven, damped nonlinear Schrödinger equation ⋮ Temporally-Periodic Solitons of the Parametrically Driven Damped Nonlinear Schrödinger Equation ⋮ Oscillating solitons of the driven, damped nonlinear Schrödinger equation ⋮ Two-dimensional solitary pulses in driven diffractive-diffusive complex Ginzburg-Landau equations
