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oe1(光电查) - 科学论文

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?? 中文（中国） ▾

  • Stable soliton propagation in a coupled (2+1) dimensional Ginzburg-Landau system

    摘要： In this paper, a coupled (2+1)-dimensional variable coefficient Ginzburg-Landau equation is studied. By virtue of the modified Hirota bilinear method, the bright one-soliton solution of the equation is derived. Some phenomena of soliton propagation are analyzed by setting different values of the dispersion term. The influences of the corresponding parameters on solitons are also discussed. Results can enrich the soliton theory, and may be helpful in the manufacture of optical devices.

    关键词： modified Hirota bilinear method,Ginzburg-Landau equation,Soliton,bright soliton solution

    更新于2025-09-23 15:21:01

  • Stability analysis, solition solutions and Gaussian solitons of the generalized nonlinear Schr?dinger equation with higher order terms

    摘要： The purpose of this paper is to study stability analysis, solition solutions and Gaussian solitons of the generalized nonlinear Schr?dinger equation with higher order terms, which can be used to describe the propagation properties of optical soliton solutions. The authors apply the ansatz method and the Hamiltonian system technique to ?nd its bright, dark and Gaussian wave solitons and analyze its modulation instability analysis and stability analysis solution. The results imply that the generalized nonlinear Schr?dinger equation has bright, dark and Gaussian wave solitons. Meanwhile, the authors provide the graphical analysis of such solutions to better understand their dynamical behavior. Some constraint conditions are provided which can guarantee the existence of solitons. The authors analyze its modulation instability analysis and stability analysis solution. These results may help us to further study the local structure and the interaction of solutions in generalized nonlinear Schr?dinger -type equations. The authors hope that the results provided in this work can help enrich the dynamic behavior of the generalized nonlinear Schr?dinger–type equations.

    关键词： The generalized nonlinear Schr?dinger,Stability analysis,Dark soliton solution,Bright soliton solution,Gaussian solution

    更新于2025-09-04 15:30:14