Dromion-like structures and stability analysis in the variable coefficients complex Ginzburg-Landau equation
From MaRDI portal
Publication:527744
DOI10.1016/J.AOP.2015.05.018zbMath1360.35261OpenAlexW348482998MaRDI QIDQ527744
Ming Lei, Yan-Qing Li, Pring Wong, Wen-Jun Liu, Long-Gang Huang, Li-Hui Pang
Publication date: 12 May 2017
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aop.2015.05.018
Stability in context of PDEs (35B35) Lasers, masers, optical bistability, nonlinear optics (78A60) Ginzburg-Landau equations (35Q56)
Related Items (3)
Coupled complex Ginzburg-Landau systems with saturable nonlinearity and asymmetric cross-phase modulation ⋮ Dromion-like soliton interactions for nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers ⋮ Lie symmetry properties of the two-component complex Ginzburg–Landau system with variable coefficients
Cites Work
- New analytical positon, negaton and complexiton solutions of a coupled KdV-mKdV system
- Exact front, soliton and hole solutions for a modified complex Ginzburg-Landau equation from the harmonic balance method
- New exact homoclinic wave and periodic wave solutions for the Ginzburg-Landau equation
- Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation
- Semi-foldon fission and fusion in the \((2+1)\)-dimensional higher order Broer-Kaup system
- Exact homoclinic wave and soliton solutions for the 2D Ginzburg-Landau equation
- Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons
- Breather type of chirped soliton solutions for the 2D Ginzburg-Landau equation
- Painlevé analysis and exact solutions of the resonant Davey-Stewartson system
- Extended transformed rational function method and applications to complexiton solutions
- On the relationship of periodic wavetrains and solitary waves of complex Ginzburg-Landau type equations
- Interactions of dromion-like structures in the \((1 + 1)\) dimension variable coefficient nonlinear Schrödinger equation
- Dromion-like structures in the variable coefficient nonlinear Schrödinger equation
- Exact stable pulses in asymmetric linearly coupled Ginzburg-Landau equations
- Solitons with a nested structure over finite fields
- The world of the complex Ginzburg-Landau equation
- Dromion solutions of noncommutative Davey–Stewartson equations
- Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
- Dromion-like structures in a (3+1)-dimensional KdV-type equation
- Dromions, Dromion Lattice, Breathers and Instantons of the Davey–Stewartson Equation
- Interaction of Solitons in (2+1)-Dimensional Integrable Models
- The study of dromion interactions of (2+1)-dimensional integrable systems
- Construction of the soliton solutions of the Ginzburg–Landau equations by the new Bogning–Djeumen Tchaho–Kofané method
- Modelling rogue waves through exact dynamical lump soliton controlled by ocean currents
- Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations
- Exact envelope-soliton solutions of a nonlinear wave equation
- Instabilities and splitting of pulses in coupled Ginzburg-Landau equations
This page was built for publication: Dromion-like structures and stability analysis in the variable coefficients complex Ginzburg-Landau equation