Showing 1 - 20 results of 214 for search '"soliton"', query time: 0.05s Refine Results
  1. 1

    Observation of Dissipative Bright Soliton and Dark Soliton in an All-Normal Dispersion Fiber Laser by Chunyang Ma, Bo Gao, Ge Wu, Tian Zhang, Xiaojian Tian

    Published 2016-01-01
    “…This paper proposes a novel way for controlling the generation of the dissipative bright soliton and dark soliton operation of lasers. We observe the generation of dissipative bright and dark soliton in an all-normal dispersion fiber laser by employing the nonlinear polarization rotation (NPR) technique. …”
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    Article
  2. 2

    Characterizations of Trivial Ricci Solitons by Sharief Deshmukh, Nasser Bin Turki, Hana Alsodais

    Published 2020-01-01
    “…Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. …”
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    Article
  3. 3

    A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions by Bo Ren, Ji Lin, Zhi-Mei Lou

    Published 2019-01-01
    “…By combining multiexponential functions with a quadratic function, the interaction between lumps and multikink soliton is generated. In the meanwhile, the interaction of lump with periodic waves and the interaction among lumps, periodic waves, and multikink soliton can be obtained by introducing the ansätz forms. …”
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    A generalised hopf algebra for solitons by Falleh R. Al-Solamy, Edwin J. Beggs

    Published 2002-01-01
    “…It is motivated by an example from the inverse scattering formalism for solitons. We begin with the corresponding idea for groups, where the concept of the identity is altered.…”
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    Two-dimensional stationary soliton gas by Thibault Bonnemain, Gino Biondini, Benjamin Doyon, Giacomo Roberti, Gennady A. El

    Published 2025-02-01
    “…We then use the spectral kinetic theory to analytically describe two basic types of 2D soliton gas interactions: (i) refraction of a line soliton by a stationary soliton gas, and (ii) oblique interference of two soliton gases. …”
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  8. 8

    Dynamic behavior of solitons in nonlinear Schrödinger equations by Mostafa M. A. Khater, Suleman H. Alfalqi, Aleksander Vokhmintsev

    Published 2025-02-01
    “…The findings reveal a variety of soliton-like solutions, demonstrating the robustness and effectiveness of the methodologies employed. …”
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    ρ-Einstein Solitons on Warped Product Manifolds and Applications by Nasser Bin Turki, Sameh Shenawy, H. K. EL-Sayied, N. Syied, C. A. Mantica

    Published 2022-01-01
    “…Firstly, the pertinent properties of ρ-Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ-Einstein soliton warped product manifold to make its factor ρ-Einstein soliton are examined. …”
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    Some New Characterizations of Trivial Ricci–Bourguignon Solitons by Hana Al-Sodais, Nasser Bin Turki, Sharief Deshmukh, Bang-Yen Chen, Hemangi Madhusudan Shah

    Published 2025-01-01
    “…A Ricci–Bourguignon soliton is a self-similar solution to the Ricci–Bourguignon flow equation, and a Ricci–Bourguignon soliton is called trivial if its potential field is zero or killing. …”
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  15. 15

    Lax Integrability and Soliton Solutions for a Nonisospectral Integrodifferential System by Sheng Zhang, Siyu Hong

    Published 2017-01-01
    “…Finally, in the case of reflectionless potentials, the obtained exact solutions are reduced to n-soliton solutions. When n=1 and n=2, the characteristics of soliton dynamics of one-soliton solutions and two-soliton solutions are analyzed with the help of figures.…”
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  16. 16

    N-Soliton Solutions of the Nonisospectral Generalized Sawada-Kotera Equation by Jian Zhou, Xiang-Gui Li, Deng-Shan Wang

    Published 2014-01-01
    “…By using Hirota method, the analytic one-, two-, three-, and N-soliton solutions of this model are obtained. According to those solutions, the relevant properties and features of line-soliton and bright-soliton are illustrated. …”
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    Article
  17. 17

    The Integrability of a New Fractional Soliton Hierarchy and Its Application by Xiao-ming Zhu, Jian-bing Zhang

    Published 2022-01-01
    “…Two fractional soliton equations are presented generated from the same spectral problem involved in a fractional potential by the zero-curvature representations. …”
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  18. 18

    Vector Solitons of a Coupled Schrödinger System with Variable Coefficients by Juan Carlos Muñoz Grajales

    Published 2016-01-01
    “…We show the existence of waveforms of finite-energy (vector solitons) for a coupled nonlinear Schrödinger system with inhomogeneous coefficients. …”
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    Soliton outcomes and dynamical properties of the fractional Phi-4 equation by Md Mostafa, Mohammad Safi Ullah

    Published 2025-01-01
    “…This paper uses the unified solver process to acquire soliton outcomes for the fractional Phi-4 model. The dynamic characteristic of the governing model is investigated for its planar dynamical system by applying the bifurcation method. …”
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