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
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)