Precessing ball solitons (PBS) in a ferromagnet during the first order phase transition induced by a magnetic field directed along the axis of anisotropy, while the additional action of high-frequency field perpendicu...Precessing ball solitons (PBS) in a ferromagnet during the first order phase transition induced by a magnetic field directed along the axis of anisotropy, while the additional action of high-frequency field perpendicular to the main magnetic field, are analyzed. It is shown that the spatial motion of solitons, associated with thermal fluctuations in the crystal, does not destroy the equilibrium of self-organized PBS.展开更多
In this article, we propose a generalized exp(-Φ(ξ))-expansion method and successfully implement it to find exact traveling wave solutions to the fifth order standard Sawada-Kotera (SK) equation. The exact traveling...In this article, we propose a generalized exp(-Φ(ξ))-expansion method and successfully implement it to find exact traveling wave solutions to the fifth order standard Sawada-Kotera (SK) equation. The exact traveling wave solutions are established in the form of trigonometric, hyperbolic, exponential and rational functions with some free parameters. It is shown that this method is standard, effective and easily applicable mathematical tool for solving nonlinear partial differential equations arises in the field of mathematical physics and engineering.展开更多
The propagation of optical solitons in fiber amplifiers is discussed by considering a model that includes linear high order dispersion, two photon absorption, nonlinear high order dispersion, self induced Ramam and fi...The propagation of optical solitons in fiber amplifiers is discussed by considering a model that includes linear high order dispersion, two photon absorption, nonlinear high order dispersion, self induced Ramam and five order nonlinear effects. Based on travelling wave method, the solutions of the nonlinear Schr dinger equations, and the influence on soliton propagation as well as high order effect in the fiber amplifier are discussed in detail. It is found that because of existing five order nonlinear effect, the solution is not of secant hyperbola type, but shows high gain state of the fiber amplifier which is very favourable to the propagation of solitons.展开更多
文摘Precessing ball solitons (PBS) in a ferromagnet during the first order phase transition induced by a magnetic field directed along the axis of anisotropy, while the additional action of high-frequency field perpendicular to the main magnetic field, are analyzed. It is shown that the spatial motion of solitons, associated with thermal fluctuations in the crystal, does not destroy the equilibrium of self-organized PBS.
文摘In this article, we propose a generalized exp(-Φ(ξ))-expansion method and successfully implement it to find exact traveling wave solutions to the fifth order standard Sawada-Kotera (SK) equation. The exact traveling wave solutions are established in the form of trigonometric, hyperbolic, exponential and rational functions with some free parameters. It is shown that this method is standard, effective and easily applicable mathematical tool for solving nonlinear partial differential equations arises in the field of mathematical physics and engineering.
文摘The propagation of optical solitons in fiber amplifiers is discussed by considering a model that includes linear high order dispersion, two photon absorption, nonlinear high order dispersion, self induced Ramam and five order nonlinear effects. Based on travelling wave method, the solutions of the nonlinear Schr dinger equations, and the influence on soliton propagation as well as high order effect in the fiber amplifier are discussed in detail. It is found that because of existing five order nonlinear effect, the solution is not of secant hyperbola type, but shows high gain state of the fiber amplifier which is very favourable to the propagation of solitons.
