双线性方法求n分量非线性薛定谔方程的N孤子解  

N-soliton solutions of n-component nonlinear Schrödinger equation via Hirota method

作　　者：昂给鲁玛 白玉山[1] ANG Geiluma;BAI Yushan(School of Science,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,内蒙古呼和浩特010051

出　　处：《内蒙古工业大学学报(自然科学版)》2025年第2期150-159,共10页Journal of Inner Mongolia University of Technology:Natural Science Edition

基　　金：国家自然科学基金项目(12262027);内蒙古自治区自然科学基金项目(2023LHMS01006)。

摘　　要：利用Hirota双线性方法给出了光纤通信中重要模型n分量非线性薛定谔方程(Nonlinear Schrödinger equation,NLSE)的N孤子解一般表达式。作为例子,给出了三分量NLSE和六分量NLSE丰富的解,包括单孤子解、双孤子解和三孤子解,并通过取适当的参数,绘制了孤子解、呼吸解以及相互作用解等的图形,详细讨论了参数对波形的影响。这些结果丰富了n分量NLSE的孤子解的相关研究。The general expression of N-soliton solution of the n-component nonlinear Schrödinger equation(NLSE),an important model in optical fiber communication,was given by using Hirota bilinear method.As an example,a variety of solutions for three-component NLSE and six-component NLSE were given,including single-soliton solution,two-soliton solution and three-soliton solution.The graphs of soliton solutions,breather solutions and interaction solutions were plotted by taking appropriate parameters,and the influence of the parameters on the waveform was discussed in detail.These results could enrich the study of soliton solutions of n-component NLSE.

关 键 词：n分量非线性薛定谔方程 双线性形式 孤子解 呼吸解 相互作用解 

分 类 号：O175.2[理学—数学]