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Showing 1-20 of 782 results
  1. Optical Solitons of Nonlinear Schrödinger Equation with Anomalous Dispersion Regime

    Abstract

    In this study, the optical solitons of nonlinear Schrödinger equation with anomalous dispersion are investigated via Improved Bernoulli...

    V. Ala, U. Demirbilek in Lobachevskii Journal of Mathematics
    Article 01 July 2023
  2. Existence of Optical Vortex Solitons in Pair Plasmas

    Optical vortices arise as phase dislocations of light fields and they are of importance in modern optical physics. In this study, we employ the...

    Article 17 June 2023
  3. Solitons, Breathers and Modulation Instability for a Higher-Order Coupled Nonlinear Schrödinger System for the Ultrashort Optical Pulses in a Nonlinear Medium

    In this paper, we investigate some soliton and breather solutions for a higher-order coupled nonlinear Schrödinger system which may describe the...

    Dan-Yu Yang, Bo Tian, ... **ao-Tian Gao in Qualitative Theory of Dynamical Systems
    Article 27 February 2023
  4. Construction Cubic–Quartic Optical Solitons and Other Solutions for Coupled System of Fokas–Lenells Equation Using the Improved Modified Extended tanh Function Method

    The purpose of this paper is to investigate the coupled system of the Fokas–Lenells equation, which describes the wave dynamics in optical fibers....

    Islam Samir, Niveen Badra, ... Ahmed H. Arnous in International Journal of Applied and Computational Mathematics
    Article 29 September 2022
  5. On the Temporal Tweezing of Cavity Solitons

    Motivated by the work of Jang et al., Nat Commun 6:7370 ( 2015 ), where the authors experimentally tweeze cavity solitons in a passive loop of optical...

    Julia Rossi, Sathyanarayanan Chandramouli, ... Panayotis G. Kevrekidis in Journal of Nonlinear Mathematical Physics
    Article Open access 02 July 2024
  6. Interaction Behaviors Between Solitons, Breathers and Their Hybrid Forms for a Short Pulse Equation

    In this article, we investigate the dynamical interaction behavior of a short pulse equation in optical fibers with fast-varying packets. We...

    Yu-Lan Ma, Bang-Qing Li in Qualitative Theory of Dynamical Systems
    Article 04 August 2023
  7. Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function

    Abstract

    This work studies cubic–quartic optical solitons with Kudryashov’s law of refractive index. The extended trial function approach reveals...

    Anjan Biswas, Abdullah Sonmezoglu, ... Milivoj R. Belic in Computational Mathematics and Mathematical Physics
    Article 01 December 2021
  8. Inelastic Collision of Resonant Solitons in a Bubble Medium

    Abstract

    We study a collision of high-amplitude resonant solitons in a liquid with gas bubbles moving towards each other. The interaction is of an...

    Article 01 June 2023
  9. Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation

    The existence and decay properties of dark solitons for a large class of nonlinear nonlocal Gross–Pitaevskii equations with nonzero boundary...

    André de Laire, Guillaume Dujardin, Salvador López-Martínez in Journal of Nonlinear Science
    Article 18 December 2023
  10. Optical Solitons of Two Non-linear Models in Birefringent Fibres Using Extended Direct Algebraic Method

    In this study, we build novel optical soliton solutions of parabolic law and non-local law nonlinearities in birefringent fibers by using new...

    Hamood Ur Rehman, Naeem Ullah, ... Ali Akgül in International Journal of Applied and Computational Mathematics
    Article 06 November 2021
  11. Various Dynamical Management of Three Solitons Through Modulated Coefficients in a Real Lossy Fiber System

    The dynamics of three soliton solutions of INLS equation studied by setting various forms for modulated coefficients. Via Darboux transformation...

    K. Subramanian, J. Hakkim, ... P. Indumathi in International Journal of Applied and Computational Mathematics
    Article 11 November 2022
  12. Perturbed optical solitons with conformable time-space fractional Gerdjikov–Ivanov equation

    In this work, we investigate the perturbed optical solitons to the time-space fractional Gerdjikov–Ivanov equation with conformable derivatives...

    M. Younis, M. Bilal, ... S. T. R. Rizvi in Mathematical Sciences
    Article 28 August 2021
  13. Embedded Solitons of the Generalized Nonlinear Schrödinger Equation with High Dispersion

    The family of generalized Schrödinger equations is considered with the Kerr nonlinearity. The partial differential equations are not integrable by...

    Nikolay A. Kudryashov in Regular and Chaotic Dynamics
    Article 01 November 2022
  14. Optical Solitons for Chen–Lee–Liu Equation with Two Spectral Collocation Approaches

    Abstract

    This paper revisits the study of optical solitons that is governed by one of the three forms of derivative nonlinear Schrödinger’s equation...

    M. A. Abdelkawy, S. S. Ezz-Eldien, ... M. R. Belic in Computational Mathematics and Mathematical Physics
    Article 01 September 2021
  15. Interactions among the Rogue Waves and Solitons for a (2+1)-dimensional Maccari System in Fluid Mechanics and Nonlinear Optics

    In this paper, we investigate a (2+1)-dimensional Maccari system in fluid mechanics and nonlinear optics. With the aid of the bilinear method and...

    Yu Zhao, Bo Tian, ... Shao-Hua Liu in Qualitative Theory of Dynamical Systems
    Article 21 July 2023
  16. Ground state solitons for periodic Schrödinger lattice systems with saturable nonlinearities and spectrum 0

    This paper is concerned with a class of periodic Schrödinger lattice systems with spectrum 0 and saturable nonlinearities. The existence of ground...

    Guanwei Chen, Shiwang Ma in Analysis and Mathematical Physics
    Article 20 June 2024
  17. Mixed Higher-Order Rogue Waves and Solitons for the Coupled Modified Nonlinear Schrödinger Equation

    The coupled modified nonlinear Schrödinger equation, which appears in birefringent optical fibers and describes the propagation of the short pluses...

    Tao Xu, Guoliang He, ... Yanqing Wang in Qualitative Theory of Dynamical Systems
    Article 13 December 2022
  18. Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus dynamical equation via modified mathematical method

    In this research work, we constructed the optical soliton solutions of nonlinear complex Kundu-Eckhaus (KE) equation with the help of modified...

    Article 16 March 2023
  19. Impact of the Higher-Order Reactive Nonlinearity on High-Amplitude Dissipative Solitons

    In this work, the impact of the higher-order reactive nonlinearity on very high-amplitude solitons of the cubic–quintic complex Ginzburg–Landau...

    S. C. Latas, M. F. Ferreira in Journal of Nonlinear Mathematical Physics
    Article Open access 18 March 2024
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