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Works cited by this work

33 works

Work: Dissipative solitons in the discrete Ginzburg-Landau equation with saturable nonlinearity

  1. Modulational instability in Bose-Einstein condensates in optical lattices

    V. V. Konotop, Mario Salerno

    Article200212 citations
    ABI

  2. Modulational instability and discrete breathers in the discrete cubic–quintic nonlinear Schrödinger equation

    F. Kh. Abdullaev, A. Bouketir, Azeddine Messikh +1

    ArticleNonlinear Photonic SystemsPhysica D Nonlinear Phenomena20075 citations
    ABI

  3. Modulational instability of electromagnetic waves in inhomogeneous and in discrete media

    F. Kh. Abdullaev, S. A. Darmanyan, Josselin Garnier

    ChapterNonlinear Photonic SystemsProgress in optics20025 citations
    ABI

  4. Dissipative periodic waves, solitons, and breathers of the nonlinear Schrödinger equation with complex potentials

    F. Kh. Abdullaev, V. V. Konotop, Mario Salerno +1

    ArticleNonlinear Photonic SystemsPhysical Review E20104 citations
    ABI

  5. Discrete nonlinear Schrödinger equations with arbitrarily high-order nonlinearities

    Avinash Khare, K. Ø. Rasmussen, Mario Salerno +2

    Article20064 citations
    ABI

  6. Discrete Ginzburg-Landau solitons

    Nikolaos K. Efremidis, Demetrios N. Christodoulides

    Article20034 citations
    ABI

  7. Modulational instability in two-component discrete media with cubic-quintic nonlinearity

    B. B. Baizakov, A. Bouketir, Azeddine Messikh +1

    ArticleNonlinear Photonic SystemsPhysical Review E20093 citations
    ABI

  8. Discrete cavity solitons

    Ulf Peschel, O. A. Egorov, F. Lederer

    Article20043 citations
    ABI

  9. Experimental Observation of Discrete Modulational Instability

    J. Meier, G. I. Stegeman, Demetrios N. Christodoulides +6

    Article20043 citations
    ABI

  10. Exact localized and periodic solutions of the discrete complex Ginzburg–Landau equation

    Ken-ichi Maruno, Adrian Ankiewicz, Nail Akhmediev

    Article20033 citations
    ABI

  11. Autosoliton in Ablowitz–Ladik chain with linear damping and nonlinear amplification

    F. Kh. Abdullaev, A. A. Abdumalikov, Bakhram Umarov

    ArticleNonlinear Photonic SystemsPhysics Letters A20023 citations
    ABI

  12. Solitons in strongly driven discrete nonlinear Schrödinger-type models

    Josselin Garnier, F. Kh. Abdullaev, Mario Salerno

    ArticleNonlinear Photonic SystemsPhysical Review E20073 citations
    ABI

  13. One-dimensional bright discrete solitons in media with saturable nonlinearity

    Milutin Stepić, Detlef Kip, Ljupčo Hadžievski +1

    Article20042 citations
    ABI

  14. Collective oscillations in spatially modulated exciton-polariton condensate arrays

    Andrey A. Tikhomirov, Oleg Kanakov, B. L. Altshuler +1

    Article20152 citations
    ABI

  15. Modulational instabilities in the discrete deformable nonlinear Schrödinger equation

    Yuri S. Kivshar, Mario Salerno

    Article19942 citations
    ABI

  16. How does an inclined holding beam affect discrete modulational instability and solitons in nonlinear cavities?

    O. A. Egorov, F. Lederer, Yuri S. Kivshar

    Article20072 citations
    ABI

  17. Strongly localized moving discrete dissipative breather-solitons in Kerr nonlinear media supported by intrinsic gain

    Magnus Johansson, Jaroslaw E. Prilepsky, Stanislav Derevyanko

    Article20142 citations
    ABI

  18. Dynamics of phase-locked semiconductor laser arrays

    S. S. Wang, Herbert G. Winful

    Article19882 citations
    ABI

  19. <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

    S. Champeaux, Luc Bergé, D. Gordon +3

    Article20082 citations
    ABI

  20. Postionization regimes of femtosecond laser pulses self-channeling in air

    S. Champeaux, Luc Bergé

    Article20052 citations
    ABI

  21. Observation of modulational instability in discrete media with self-defocusing nonlinearity

    Milutin Stepić, Christian Wirth, Christian E. Rüter +1

    Article20062 citations
    ABI

  22. Thresholds for breather solutions of the discrete nonlinear Schrödinger equation with saturable and power nonlinearity

    J. Cuevas, J. C. Eilbeck, Nikos I. Karachalios

    Article20082 citations
    ABI

  23. Power Controlled Soliton Stability and Steering in Lattices with Saturable Nonlinearity

    Ljupčo Hadžievski, Aleksandra Maluckov, Milutin Stepić +1

    Article20042 citations
    ABI

  24. Modulational instability in one-dimensional saturable waveguide arrays: Comparison with Kerr nonlinearity

    Milutin Stepić, Christian E. Rüter, Detlef Kip +2

    Article20062 citations
    ABI

  25. Doubly periodic waves of a discrete nonlinear Schrodinger system with saturable nonlinearity

    Robert Conte, K. W. Chow

    Article20082 citations
    ABI