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Soliton Thoughts
Laser solitons can help to construct photonic AI. They are waves with stable structures, and their combinations resemble human thoughts’ overlays....
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Soliton resonances, soliton molecules, soliton oscillations and heterotypic solitons for the nonlinear Maccari system
Soliton resonances and soliton molecules have become a hot topic in the field of nonlinear science and engineering in recent years due to their...
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Soliton interactions, soliton bifurcations and molecules, breather molecules, breather-to-soliton transitions, and conservation laws for a nonlinear (3+1)-dimensional shallow water wave equation
In this study, we employ the bilinear method to construct N th-order solutions for a nonlinear (3+1)-dimensional shallow water equation. Subsequently,...
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Dynamics of soliton resonances and soliton moleculesfor the AB system in two-layer fluids
The AB system is a critical component of fluid dynamics, as it is capable of modeling the nonlinear wave motions in two-layer fluids. In this study,...
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Soliton-Based Signaling Communication and Supermolecular Nano-complex by DDMC/PTX in Tumor Microenvironment
Drug delivery systems (DDSs) using DEAE-dextran-MMA graft copolymer (DDMC)/Paclitaxel (PTX) have shown excellent anticancer activity when used as...
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Coupled circularly polarized electromagnetic soliton states in magnetized plasmas
The interaction between two co-propagating electromagnetic pulses in a magnetized plasma is considered, from first principles, relying on a...
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Soliton Dynamics and DDMC/sncRNAs Complex for Epigenetic Change to Normal Cells in TME
Complex by DDMC/sncRNAs(a-miR-155, piR-30074, and miR-125b) have shown the full recovery of mice from virus-induced sarcoma after treatment by...
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Evolution and interaction of soliton solutions of Rossby waves in geophysical fluid mechanics
Here, we study a nonlinear evolution equation with the dissipation effect, which is derived from potential vorticity equation of geophysical fluid...
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Soliton colliding in hybrid glass photonic crystal fiber for optical transistor switching
This paper introduces a method for achieving tunable frequency conversion in the mid-infrared range, leading to the development of an optical gate...
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Nondegenerate soliton dynamics of nonlocal nonlinear Schrödinger equation
We obtain the nondegenerate one- and two-soliton solutions of the nonlocal nonlinear Schrödinger equation by using the nonstandard Hirota method....
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Step-like soliton solutions and dynamic behavior of solitons in the inhomogeneous fiber optics
This paper focuses on the long-distance telecommunication issues in real fiber optics transmission lines and explores the inhomogeneous...
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Controllable vector soliton in (2+1)-dimensional coupled nonlinear Schrödinger equations with varying coefficients
In this paper, we investigate the (2+1)- dimensional coupled nonlinear Schrödinger equations with variable coefficients which are used to describe...
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Soliton resonances for a transient stimulated Raman scattering system
In this work, we study the soliton resonances for a transient stimulated Raman scattering system. The multi-soliton solutions are constructed via...
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Robust dynamics of soliton pairs and clusters in the nonlinear Schrödinger equation with linear potentials
We demonstrate interesting dynamics of soliton pairs and clusters in the (2 + 1)-dimensional nonlinear Schrödinger equation with self-focusing Kerr...
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Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation
Optical fiber communication has developed rapidly because of the needs of the information age. Here, the variable coefficients fifth-order nonlinear...
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Two-dimensional anisotropic vortex–bright soliton and its dynamics in dipolar Bose–Einstein condensates in optical lattice
We study construction and dynamics of two-dimensional (2D) anisotropic vortex–bright (VB) soliton in spinor dipolar Bose–Einstein condensates...
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Analytical study of three-soliton interactions with different phases in nonlinear optics
Excessive nonlinear drift in optical communication systems can lead to splitting of solitons and coexistence of multiple solitons, thereby affecting...
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Bifurcation analysis, modulation instability and optical soliton solutions and their wave propagation insights to the variable coefficient nonlinear Schrödinger equation with Kerr law nonlinearity
The present paper aims to explore bifurcation analysis, modulation instability, and optical soliton solutions in nonlinear media with third-order...
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Abundant vector soliton prediction and model parameter discovery of the coupled mixed derivative nonlinear Schrödinger equation
Using the extended physics-informed neural network with twin subnets to study the coupled mixed derivative nonlinear Schrödinger equation (NLSE),...
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The vector soliton of the (3+1)-dimensional Gross–Pitaevskii equation with variable coefficients
In this paper, a variable coefficient (3+1)-dimensional Gross–Pitaevskii equation is used to study the propagation properties of solitons in...
