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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Power-efficient ultra-broadband soliton microcombs in resonantly-coupled microresonators. [PDF]
Zhu K +20 more
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Multicolor interband solitons in microcombs. [PDF]
Ji QX +12 more
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Hyperparametric solitons in nondegenerate optical parametric oscillators. [PDF]
Weng H +10 more
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Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]
Hussein HH, Alexan W, Kandil SA.
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Multi-Soliton Microcombs Enable Ultrafast Nanometric-Precision Ranging and Photon-Level Detection. [PDF]
Zhi J +10 more
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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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Dynamic soliton solutions and stability analysis of the (2+1)-dimensional Wazwaz Kaur Boussinesq equation using an efficient method. [PDF]
Elsonbaty NM +3 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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Dynamics of driven dissipative temporal solitons in an intracavity phase trap. [PDF]
Englebert N +4 more
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