Differences between two methods to derive a nonlinear Schrödinger equation and their application scopes  

作　　者：陈羽西 张恒 段文山 Yu-Xi Chen;Heng Zhang;Wen-Shan Duan(College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China

出　　处：《Chinese Physics B》2024年第2期421-429,共9页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11965019 and 42004131);the Foundation of Gansu Educational Committee(Grant No.2022QB-178).

摘　　要：The present paper chooses a dusty plasma as an example to numerically and analytically study the differences between two different methods of obtaining nonlinear Schrödinger equation(NLSE).The first method is to derive a Korteweg–de Vries(KdV)-type equation and then derive the NLSE from the KdV-type equation,while the second one is to directly derive the NLSE from the original equation.It is found that the envelope waves from the two methods have different dispersion relations,different group velocities.The results indicate that two envelope wave solutions from two different methods are completely different.The results also show that the application scope of the envelope wave obtained from the second method is wider than that of the first one,though both methods are valuable in the range of their corresponding application scopes.It is suggested that,for other systems,both methods to derive NLSE may be correct,but their nonlinear wave solutions are different and their application scopes are also different.

关 键 词：dusty plasmas nonlinear waves particle-in-cell simulation 

分 类 号：O175.29[理学—数学]