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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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Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system
In this paper, we will obtain the exact N -soliton solution of the coupled long-wave–short-wave system via the developed Hirota bilinear method....
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Soliton-like nonlinear excitation in the FitzHugh–Nagumo cardiac model through the cubic–quintic complex Ginzburg–Landau equation
The article exclusively discusses how the cubic–quintic complex Ginzburg–Landau equation governs the dynamics of dissipative soliton in the...
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Breather-like soliton, M-shaped profile, W-shaped profile, and modulation instability conducted by self-frequency shift of the nonlinear Schrödinger equation
We study the behavior of an optical soliton of the nonlinear Schrödinger equation (NLSE) with spatiotemporal, self-steepening (SS), self-frequency...
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New solitons and breather-like solutions to a (2+1)-dimensional coupled variable-coefficient Schrödinger equation in optical fibers
The nonlinear Schrödinger equation is an important theoretical model for ultra-long and ultra-fast transportation. Therefore, the situation of its...
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Multi-soliton solutions for the positive coherently coupled NLS in the Kerr media via the Riemann–Hilbert approach
In this paper, we investigate the physically important positive coherently coupled nonlinear Schrödinger (NLS) system occurred in the nonlinear Kerr...
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Evolution of periodic wave and dromion-like structure solutions in the variable coefficients coupled high-order complex Ginzburg–Landau system
In this paper, the propagation characteristics of ultrashort pulses in the birefringent fiber expressed by the variable coefficients coupled...
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Current-driven magnetization reversal dynamics and breather-like EM soliton propagation in biaxial anisotropic weak ferromagnetic nanowire
We investigate the effect of spin torque on the switching dynamics of magnetic solitons in a weak ferromagnetic nanowire under the influence of an...
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Lump solitions, fractal soliton solutions, superposed periodic wave solutions and bright-dark soliton solutions of the generalized (3+1)-dimensional KP equation via BNNM
In this study, the bilinear neural network method (BNNM) is employed for seeking analytical solutions for the generalized (3+1)-dimensional KP...
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Bright, dark and breather soliton solutions of the generalized long-wave short-wave resonance interaction system
In this paper, a generalized long-wave short-wave resonance interaction system, which describes the nonlinear interaction between a short-wave and a...
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Integrability, bilinearization, Bäcklund transformations and solutions for a generalized variable-coefficient Gardner equation with an external-force term in a fluid or plasma
A generalized variable-coefficient Gardner equation with an external-force term is investigated which can model the propagation and interaction of...
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Exact solutions to the fractional complex Ginzburg–Landau equation with time-dependent coefficients under quadratic–cubic and power law nonlinearities
In this paper, the fractional complex Ginzburg–Landau equation with time-dependent coefficients, which is used to depict diverse physical phenomena...
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Degenerate lump chain solutions and rouge wave solutions of the (4 + 1)-dimensional nonlinear evolution equation
In this article, we take the (4 + 1)-dimensional nonlinear evolution equation as an example and construct the degenerate solutions of the lump chains...
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The determinant representation of Ward soliton solutions and its dynamical behaviors
In this work, we constructed the multi-soliton solutions to the Ward equation with the help of the generalized Darboux transformation method....
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Resonance solutions and hybrid solutions of an extended (2+1)-dimensional Kadomtsev–Petviashvili equation in fluid mechanics
Constructing solutions to the extended (2+1)-dimensional Kadomtsev–Petviashvili equation is the major goal of this article, which includes resonance...
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