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Ish: Discrete Solitons of the Ginzburg-Landau Equation

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Modulational instability in Bose-Einstein condensates in optical lattices
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Discrete self-focusing in nonlinear arrays of coupled waveguides
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The world of the complex Ginzburg-Landau equation
Igor S. Aranson, Lorenz Kramer
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Nonlinear Schrödinger equation including growth and damping
N. R. Pereira, L. Stenflo
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Modulational instability and discrete breathers in the discrete cubic–quintic nonlinear Schrödinger equation
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Dissipative periodic waves, solitons, and breathers of the nonlinear Schrödinger equation with complex potentials
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Pattern formation outside of equilibrium
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Discrete nonlinear Schrödinger equations with arbitrarily high-order nonlinearities
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Discrete Ginzburg-Landau solitons
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Modulational instability in two-component discrete media with cubic-quintic nonlinearity
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Solitons of the Complex Ginzburg—Landau Equation
Nail Akhmediev, Adrian Ankiewicz
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Discrete cavity solitons
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Experimental Observation of Discrete Modulational Instability
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Exact localized and periodic solutions of the discrete complex Ginzburg–Landau equation
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Autosoliton in Ablowitz–Ladik chain with linear damping and nonlinear amplification
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Solitons in strongly driven discrete nonlinear Schrödinger-type models
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Dissipative Solitons
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Dissipative photonic lattice solitons
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Collective oscillations in spatially modulated exciton-polariton condensate arrays
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Modulational instabilities in the discrete deformable nonlinear Schrödinger equation
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How does an inclined holding beam affect discrete modulational instability and solitons in nonlinear cavities?
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Strongly localized moving discrete dissipative breather-solitons in Kerr nonlinear media supported by intrinsic gain
Magnus Johansson, Jaroslaw E. Prilepsky, Stanislav Derevyanko
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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-dimensional numerical simulations of femtosecond laser filaments in air: Toward a quantitative agreement with experiments
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