Fetching the paper…
Reading the bibliography…
We present the adiabatic theory of dissipative solitons (DS) of complex cubic-quintic nonlinear Ginzburg-Landau equation (CQGLE).
Kaup, D.: Exact quantization of the nonlinear Schrödinger equation. Journal of Mathematical Physics 16
1975
Earlier work this paper cites.
Bleistein, N., Handelsman, R.A.: Asymptotic Expansions of Integrals. Ardent Media, NY, USA (1975)
1975
Earlier work this paper cites.
Pushkarov, K.I., Pushkarov, D., Tomov, I.: Self-action of light beams in nonlinear media: soliton solutions. Optical and Quantum Electronics 11
1979
Earlier work this paper cites.
Malomed, B.A.: Evolution of nonsoliton and “quasi-classical” wavetrains in nonlinear Schrödinger and Korteweg-de Vries equations with dissipative perturbations. Physica D: Nonlinear Phenomena 29
1987
Earlier work this paper cites.
Lai, Y., Haus, H.: Quantum theory of solitons in optical fibers. ii. exact solution. Physical Review A 40
1989
Earlier work this paper cites.
Malomed, B.A., Nepomnyashchy, A.A.: Kinks and solitons in the generalized Ginzburg-Landau equation. Physical Review A 42
1990
Earlier work this paper cites.
Saarloos, W., Hohenberg, P.: Fronts, pulses, sources and sinks in generalized complex ginzburg-landau equations. Physica D: Nonlinear Phenomena 56
1992
Earlier work this paper cites.
Haus, H.A., Fujimoto, J.G., Ippen, E.P.: Analytic theory of additive pulse and Kerr lens mode locking. IEEE Journal of quantum electronics 28
1992
Earlier work this paper cites.
Brabec, T., Spielmann, C., Curley, P., Krausz, F.: Kerr lens mode locking. Optics letters 17
1992
Earlier work this paper cites.
Moores, J.D.: On the Ginzburg-Landau laser mode-locking model with fifth-order saturable absorber term. Optics Communications 96
1993
Earlier work this paper cites.
Kolner, B.H.: Space-time duality and the theory of temporal imaging. IEEE Journal of Quantum Electronics 30
1994
Earlier work this paper cites.
Soto-Crespo, J.M., Akhmediev, N.N., Afanasjev, V.V., Wabnitz, S.: Pulse solutions of the cubic-quintic complex Ginzburg-Landau equation in the case of normal dispersion. Physical Review E 55
1997
Earlier work this paper cites.
Robinson, P.: Nonlinear wave collapse and strong turbulence. Reviews of modern physics 69
1997
Earlier work this paper cites.
Dragoman, D.: I: The wigner distribution function in optics and optoelectronics. In: Progress in Optics vol. 37, pp. 1–56. Elsevier, Rochester, N.Y. U.S.A (1997)
1997
Earlier work this paper cites.
Aranson, I.S., Kramer, L.: The world of the complex Ginzburg-Landau equation. Reviews of modern physics 74
2002
Earlier work this paper cites.
Kalashnikov, V.L., Sorokin, E., Sorokina, I.T.: Multipulse operation and limits of the kerr-lens mode-locking stability. IEEE journal of quantum electronics 39
2003
Earlier work this paper cites.
Ankiewicz, A., Akhmediev, N. (eds.): Dissipative Solitons. Springer, Berlin, German (2005)
2005
Earlier work this paper cites.
Malomed, B.: Nonlinear Schrödinger equation, pp. 639–643. Taylor & Francis, New York (2005)
2005
Earlier work this paper cites.
Podivilov, E., Kalashnikov, V.L.: Heavily-chirped solitary pulses in the normal dispersion region: new solutions of the cubic-quintic complex Ginzburg-Landau equation. Journal of Experimental and Theoretical Physics Letters 82
2005
Earlier work this paper cites.
Kalashnikov, V.L., Podivilov, E., Chernykh, A., Naumov, S., Fernandez, A., Graf, R., Apolonski, A.: Approaching the microjoule frontier with femtosecond laser oscillators: theory and comparison with experiment. New Journal of Physics 7
2005
Earlier work this paper cites.
2005
Earlier work this paper cites.
Katz, M., Gordon, A., Gat, O., Fischer, B.: Non-gibbsian stochastic light-mode dynamics of passive mode locking. Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
Katz, M., Gordon, A., Gat, O., Fischer, B.: Non-Gibbsian stochastic light-mode dynamics of passive mode locking. Physical review letters 97
2006
Cited alongside, same era.
Picozzi, A.: Towards a nonequilibrium thermodynamic description of incoherent nonlinear optics. Optics Express 15
2007
Cited alongside, same era.
Ankiewicz, A., Akhmediev, N., Devine, N.: Dissipative solitons with a lagrangian approach. Optical fiber technology 13
2007
Cited alongside, same era.
Ankiewicz, A., Akhmediev, N.: Dissipative Solitons: from Optics to Biology and Medicine. Springer, Berlin, Germany (2008)
2008
Cited alongside, same era.
Chang, W., Ankiewicz, A., Soto-Crespo, J., Akhmediev, N.: Dissipative soliton resonances. Physical Review A 78
2008
Cited alongside, same era.
Kalashnikov, V.L., Sorokin, E., Sorokina, I.T.: Chirped dissipative soliton absorption spectroscopy. Optics Express 19
2011
Later among the works it cites.
Grelu, P., Akhmediev, N.: Dissipative solitons for mode-locked lasers. Nature photonics 6
2012
Later among the works it cites.
Sun, C., Jia, S., Barsi, C., Rica, S., Picozzi, A., Fleischer, J.W.: Observation of the kinetic condensation of classical waves. Nature Physics 8
2012
Later among the works it cites.
Zakharov, V.E., L’vov, V.S., Falkovich, G.: Kolmogorov Spectra of Turbulence I: Wave Turbulence. Springer, Berlin-Heidelberg, Germany (2012)
2012
Later among the works it cites.
Sob’yanin, D.N.: Bose-einstein condensation of light: General theory. Physical Review E 88
2013
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Carretero-González, R., Frantzeskakis, D., Kevrekidis, P.: Nonlinear waves in bose-einstein condensates: physical relevance and mathematical techniques. Nonlinearity 21
2008
Cited alongside, same era.
Bale, B.G., Kutz, J.N., Chong, A., Renninger, W.H., Wise, F.W.: Spectral filtering for high-energy mode-locking in normal dispersion fiber lasers. JOSA B 25
2008
Cited alongside, same era.
Renninger, W., Chong, A., Wise, F.: Dissipative solitons in normal-dispersion fiber lasers. Physical Review A 77
2008
Cited alongside, same era.
Ankiewicz, A., Akhmediev, N.: Comparison of lagrangian approach and method of moments for reducing dimensionality of soliton dynamical systems. Chaos: An Interdisciplinary Journal of Nonlinear Science 18
2008
Cited alongside, same era.
Akhmediev, N., Soto-Crespo, J.M., Grelu, P.: Roadmap to ultra-short record high-energy pulses out of laser oscillators. Physics Letters A 372
2008
Cited alongside, same era.
Rotschild, C., Schwartz, T., Cohen, O., Segev, M.: Incoherent spatial solitons in effectively instantaneous nonlinear media. Nature Photonics 2
2008
Cited alongside, same era.
Ginzburg, V.L., Landau, L.D.: On the Theory of Superconductivity, pp. 113–137. Springer, Berlin, Heidelberg (2009). https://doi.org/10.1007/978-3-540-68008-6_4 . https://doi.org/10.1007/978-3-540-68008-6_4
2009
Cited alongside, same era.
Picozzi, A., Garnier, J., Hansson, T., Suret, P., S., R., G., M.: Optical wave turbulence: Towards a unified nonequilibrium thermodinamic formulation of statistical nonlinear optics. Phys. Reports 542
2014
Later among the works it cites.
Dudley, J.M., Dias, F., Erkintalo, M., Genty, G.: Instabilities, breathers and rogue waves in optics. Nature Photonics 8
2014
Later among the works it cites.
Editorial: The power of analogies. Nature Photonics 8
2014
Later among the works it cites.
2015
Later among the works it cites.
Leblond, H.: Dissipative solitons: The finite bandwidth of gain as a viscous friction. Physical Review A 93
2016
Later among the works it cites.
Kalashnikov, V.L.: Optics and chaos: Chaotic, rogue, and noisy optical dissipative solitons. In: Skiadas, C.H., Skiadas, C. (eds.) Handbook of Applications of Chaos Theory, pp. 587–626. CRC Press, Boca Raton, USA (2017)
2017
Later among the works it cites.
Kalashnikov, V.L.: Theory of laser energy harvesting at femtosecond scale. In: Harooni, M. (ed.) High Power Laser Systems, pp. 173–196. IntechOpen, London, UK (2018)
2018
Later among the works it cites.
Liu, W.-M., Kengne, E.: Overview of Nonlinear Schrödinger Equations, pp. 1–13. Springer, Singapore (2019). https://doi.org/10.1007/978-981-13-6581-2_1 . https://doi.org/10.1007/978-981-13-6581-2_1
2019
Later among the works it cites.
Wu, F.O., Hassan, A.U., Christodoulides, D.N.: Thermodynamic theory of highly multimoded nonlinear optical systems. Nature Photonics 13
2019
Later among the works it cites.
Kalashnikov, V.L., Wabnitz, S.: A “metaphorical” nonlinear multimode fiber laser approach to weakly dissipative Bose-Einstein condensates a. Europhysics Letters 133
2021
Later among the works it cites.
Bloch, J., Carusotto, I., Wouters, M.: Non-equilibrium Bose–Einstein condensation in photonic systems. Nature Reviews Physics 4
2022
Later among the works it cites.
Ferreira, M.F. (ed.): Dissipative Optical Solitons vol. 238. Springer, Cham, Switzerland (2022)
2022
Later among the works it cites.
2022
Later among the works it cites.
Yin, Y.-H., Lü, X.: Dynamic analysis on optical pulses via modified pinns: Soliton solutions, rogue waves and parameter discovery of the cq-nlse. Communications in Nonlinear Science and Numerical Simulation 126
2023
Closest in time.
Rudenkov, A., Kalashnikov, V.L., Sorokin, E., Demesh, M., Sorokina, I.T.: High peak power and energy scaling in the mid-ir chirped-pulse oscillator-amplifier laser systems. Opt. Express 31
2023
Closest in time.
Wan, Z., Wang, H., Liu, Q., Fu, X., Shen, Y.: Ultra-degree-of-freedom structured light for ultracapacity information carriers. ACS Photonics (2023)
2023
Closest in time.