Solitons in the Fifth-Order Kd V Equation with a Perturbation  

作　　者：Wentao Li Yipu Chen Zhao Zhang Xiangyu Yang Biao Li 

机构地区：[1]School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China [2]School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang 524048,China [3]School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China

出　　处：《Chinese Physics Letters》2025年第1期10-14,共5页中国物理快报(英文版)

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.12175111,12275144,and 12235007;the K.C.Wong Magna Fund at Ningbo University;the Scientific Research Innovation Project of Lingnan Normal University(Grant No.LT2401)。

摘　　要：The fifth-order Kd V equation with a perturbation term is naturally consistent with the shallow-water wave model.In this study,the leading-order asymptotic solution of the perturbed fifth-order Kd V equation was derived using the multi-scale perturbation expansion method.Furthermore,the asymptotic solution was reconsidered from the perspective of conservation laws,and consistent results were obtained.In addition,the numerical solution of the slowly varying solitary wave asymptotic solution was obtained using the Fourier spectral method under appropriate initial conditions to better understand its dynamic behavior.These results enrich research on fluid dynamics.

关 键 词：dynamics method ASYMPTOTIC 

分 类 号：O17[理学—数学]