Spectral transverse instabilities and soliton dynamics in the higher-order multidimensional nonlinear Schrödinger equation

DOI10.1016/j.physd.2015.09.005zbMath1364.35328OpenAlexW1865969154MaRDI QIDQ2357352

Ziad H. Musslimani, Justin T. Cole

Publication date: 13 June 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2015.09.005

zbMATH Keywords

transverse instabilityhigher-order dispersionline solitons

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (8)

Stability of one and two-dimensional spatial solitons in a cubic-quintic-septimal nonlinear Schrödinger equation with fourth-order diffraction and \(\mathcal{PT}\)-symmetric potentials ⋮ Transition of the breather wave of six-order nonlinear Schrödinger equation ⋮ On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation ⋮ Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations ⋮ Effect of power-law nonlinearity on ${ \mathcal P }{ \mathcal T }$-symmetric optical system with fourth-order diffraction ⋮ Stability band structure for periodic states in periodic potentials ⋮ Stability of Gaussian-type soliton in the cubic-quintic nonlinear media with fourth-order diffraction and \(\mathcal{PT}\)-symmetric potentials ⋮ Global solution for a sixth-order nonlinear Schrödinger equation

Uses Software

• Matlab

Cites Work

• Unnamed Item
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• Pattern formation outside of equilibrium
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