Modulational instability in linearly coupled complex cubic-quintic Ginzburg-Landau equations
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Publication:601377
DOI10.1016/j.chaos.2007.09.086zbMath1198.35266OpenAlexW2014943540MaRDI QIDQ601377
K. Porsezian, Rajesh Ganapathy, Boris A. Malomed, Ramdoss Murali
Publication date: 4 November 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2007.09.086
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Cites Work
- Modulational instability and spatiotemporal transition to chaos
- Bifurcations and competing coherent structures in the cubic-quintic Ginzburg--Landau equation. I: Plane wave (CW) solutions
- Evolution of nonsoliton and ``quasi-classical wavetrains in nonlinear Schrödinger and Korteweg-de Vries equations with dissipative perturbations
- Homoclinic orbit for the cubic-quintic Ginzburg-Landau equation
- Exact solutions of the one-dimensional modified complex Ginzburg--Landau equation.
- Pattern selection and modulational instability in the one-dimensional modified complex Ginzburg-Landau equation
- Exact stable pulses in asymmetric linearly coupled Ginzburg-Landau equations
- Variational principles for Ginzburg-Landau equation by He's semi-inverse method
- Exact solutions of generalized Zakharov and Ginzburg-Landau equations
- Traveling wavetrains in the complex cubic-quintic Ginzburg-Landau equation
- Solitary pulses in linearly coupled cubic-quintic Ginzburg-Landau equations
- Nonlinear Schrödinger equation including growth and damping
- Instabilities and splitting of pulses in coupled Ginzburg-Landau equations
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