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一类非线性偏微分方程的多孤子解

李伟 张智欣

重庆理工大学学报(自然科学版)2017,Vol.31Issue(3):171-174,4.
重庆理工大学学报(自然科学版)2017,Vol.31Issue(3):171-174,4.DOI:10.3969/j.issn.1674-8425(z).2017.03.026

一类非线性偏微分方程的多孤子解

N-Soliton Solutions for a Class of Nonlinear Partial Differential Equations

李伟 1张智欣1

作者信息

  • 1. 渤海大学数理学院,辽宁锦州121013
  • 折叠

摘要

Abstract

Many significant natural science and engineering problems can be attributed to nonlinear partial differential equation.From the traditional point of view,n-soliton solutions of partial differential equation are hard to get.After several decades of research and exploration,we have found some tectonic exact solution method.With the help of Cole-Hopf transformation method and the Af + B =0 method,n-soliton solutions of the Burgers equation and the KP equation were presented.This method could solve a series of partial differential equations.

关键词

科尔-霍普夫变换/Af+B=0方法/多孤子解

Key words

the Cole-Hopf transformation/Af + B =0 method/multiple-soliton solution

分类

数理科学

引用本文复制引用

李伟,张智欣..一类非线性偏微分方程的多孤子解[J].重庆理工大学学报(自然科学版),2017,31(3):171-174,4.

基金项目

国家自然科学基金资助项目(11547005) (11547005)

重庆理工大学学报(自然科学版)

OA北大核心CSTPCD

1674-8425

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