Results 111 to 120 of about 48,235 (213)

Fractional Soliton Dynamics and Spectral Transform of Time-Fractional Nonlinear Systems: A Concrete Example

Complexity, 2019
In this paper, the spectral transform with the reputation of nonlinear Fourier transform is extended for the first time to a local time-fractional Korteweg-de vries (tfKdV) equation.
Sheng Zhang, Yuanyuan Wei, Bo Xu
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Multi-soliton solutions in the chiral quark soliton model

, 2004
59 pages, 11 figures; invited paper for "Progress in Soliton Research", Nova Science Publishers (NY)
Sawado, Nobuyuki, Shiiki, Noriko
openaire   +2 more sources

Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity

Journal of Applied Mathematics, 2019
In this work, we investigate various types of solutions for the generalised resonant dispersive nonlinear Schrödinger equation (GRD-NLSE) with power law nonlinearity.
K. S. Al-Ghafri
doaj   +1 more source

Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium-Doped Fiber

Advances in Mathematical Physics
In this work, the reduced spin Hirota–Maxwell–Bloch (rsHMB) equation is examined analytically. This model is useful for characterizing the propagation of femtosecond pulses in an erbium-doped fiber.
Asma Taskeen, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Baboucarr Ceesay, Nauman Ahmed   +4 more
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Bilinearization and new multi-soliton solutions of mKdV hierarchy with time-dependent coefficients

Open Physics, 2016
In this paper, Hirota’s bilinear method is extended to a new modified Kortweg–de Vries (mKdV) hierarchy with time-dependent coefficients. To begin with, we give a bilinear form of the mKdV hierarchy. Based on the bilinear form, we then obtain one-soliton,
Zhang Sheng, Zhang Luyao
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Fractional and Integrable Perspectives on a Variable-Coefficient Semi-Discrete NLS Equation: Analytical Method and Engineering Applications

Fractal and Fractional
The method of deriving fractional-order differential equations using Riesz fractional-order calculus is a new breakthrough, and it is possible to use the inverse scattering transform (IST) to solve the analytical solutions of the derived equations ...
Sen Zhao, Sheng Zhang, Bo Xu
doaj   +1 more source

Quantum backreaction effect in optical solitons

New Journal of Physics
Optical solitons classically are stationary solutions of the nonlinear Schrödinger equation. We perform a quantum field theoretic treatment by quantising a linearised fluctuation field around the classical soliton solution which can be seen as providing ...
Sang-Shin Baak, Friedrich König
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Exact Soliton Solutions to the Variable-Coefficient Korteweg–de Vries System with Cubic–Quintic Nonlinearity

Mathematics
In this manuscript, we investigate the (2+1)-dimensional variable-coefficient Korteweg–de Vries (KdV) system with cubic–quintic nonlinearity. Based on different methods, we also obtain different solutions.
Hongcai Ma, Xinru Qi, Aiping Deng
doaj   +1 more source

Optical solitons solution for the perturbed nonlinear Schrödinger’s equation

Partial Differential Equations in Applied Mathematics
In this manuscript, the perturbed nonlinear Schrödinger’s equation (PNLSE) is considered, which has many implications in various fields such as ferromagnetic material, nonlinear optics, and optical fibers.
Nasir Ullah, Aman Ullah, Sajid Ali, Shafiq Ahmad   +3 more
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Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity

Nonlinear Analysis, 2013
This paper studies the Zakharov equation with power law nonlinearity. The traveling wave hypothesis is applied to obtain the 1-soliton solution of this equation.
Richard Morris, Abdul Hamid Kara, Anjan Biswas   +2 more
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