Results 31 to 40 of about 654 (181)
Fractal and Fractional, 2023 In the field of nonlinear optics, quantum mechanics, condensed matter physics, and wave propagation in rigid and other nonlinear instability phenomena, the nonlinear Schrödinger equation has significant applications.
Farhana Tasnim +2 more
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Quantum Coherence of Discrete Kink Solitons in Ion Traps [PDF]
Physical Review Letters, 2010 5 pages, 4 figures ; minor ...
Landa, H. +4 more
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Results in Physics, 2022 The behaviors of optical solitons with spatio-temporal dispersion of the nonlinear Schrödinger’s equation with Kerr medium is discussed by using diverse integration technique.
Adil Jhangeer +2 more
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More about the instanton/soliton/kink correspondence [PDF]
International Journal of Geometric Methods in Modern Physics, 2016 We demonstrate that all gauge instantons in a [Formula: see text] Yang–Mills theory, with generic topological vacuum charge [Formula: see text], correspond to soliton solutions and kink scalar fields in [Formula: see text] space-time.
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Dynamics of topological defects in ion Coulomb crystals
New Journal of Physics, 2013 We study experimentally and theoretically the properties of structural defects (kink solitons) in two-dimensional ion Coulomb crystals. We show how different types of kink solitons with different physical properties can be realized, and transformed from ...
H L Partner +7 more
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Results in Physics, 2022 In this research, we study the dispersive phenomena for the (2+1)-dimensional generalized breaking soliton system (GBSS), which describe the interaction phenomena between Riemann wave and long wave via two space variable in nonlinear media.
Mujahid Iqbal +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Topological‐defect‐featured order evolution of liquid crystals
Responsive Materials, EarlyView.This review provides a comprehensive introduction to the recent advances in the topological‐defect‐featured order evolution of liquid crystal (LCs), including the stimulus‐driven dynamics of defects in nematic LCs, topological defect morphological transformation during phase transitions, advanced strategies for regulating and applications of ...
Jin‐Bing Wu +4 more
wiley +1 more source
Partial Differential Equations in Applied MathematicsIn this work, we develop multi-wave, homoclinic breathers, M-shaped rational, 1-kink interactions with M-shaped, periodic-cross rational and kink-cross rational solutions for the fifth-order Sawada-Kotera equation, which represents the motion of long ...
Sajawal Abbas Baloch +4 more
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New perturbed conformable Boussinesq-like equation: Soliton and other solutions
Results in Physics, 2022 In recent years, finding exact solutions to nonlinear differential equations has become a fascinating study topic. In the present study, using the modified Kudryashov method and the improved generalized Riccati equation mapping method in the conformable ...
Kottakkaran Sooppy Nisar +7 more
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