The dynamical model on 3+1 dimensional spacetime admitting soliton solutions is discussed. The proposal soliton is localized in the vicinity of a closed contour, which could be linked and/or knotted. The topological charge is Hopf invariant. Some applications in realistic physical systems are indicated.
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Multicolor interband solitons in microcombs. [PDF]
Ji QX +12 more
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Dynamics of driven dissipative temporal solitons in an intracavity phase trap. [PDF]
Englebert N +4 more
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Bifurcation analysis and soliton solutions of the generalized third-order nonlinear Schrödinger equation using two analytical approaches. [PDF]
Parveen S +6 more
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On certain novel numerical and analytical solutions for the pure-cubic Schrödinger equation in optical fibers with Kerr nonlinearity. [PDF]
Tariq KU +3 more
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Soliton structures and dynamical characteristics of fractional nonlinear waves in the classical Boussinesq framework. [PDF]
Rimu NN, Islam MA, Dey P.
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Non-topological solitons and quasi-solitons
Abstract Solitons in relativistic field theories are not necessarily topologically charged. In particular, non-topological solitons—known as Q-balls—arise naturally in nonlinear field theories endowed with attractive interactions and internal symmetries.
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Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]
Adem AR +5 more
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Analytical wave families and stability dynamics in a modified complex Ginzburg-Landau model via the modified extended direct algebraic method. [PDF]
Rateb AE +4 more
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Tunable Wavelength-Multiplexed Dual-Frequency Bound Pulse in a Carbon-Nanotube-Based Fiber Laser. [PDF]
Wang L +6 more
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