Degasperis-Procesi方程的无穷序列尖峰孤立波解  

Infinite sequence peak solitary wave solutions of Degasperis-Procesi equation

作　　者：套格图桑[1] 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《物理学报》2011年第7期25-33,共9页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10461006);内蒙古自治区高等学校科学研究基金(批准号:NJZZ07031);内蒙古自治区自然科学基金(批准号:2010MS0111)资助的课题~~

摘　　要：本文为了构造非线性发展方程的无穷序列尖峰精确解,给出了Riccati方程的Bcklund变换和解的非线性叠加公式,并借助符号计算系统Mathematica,用Degasperis-Procesi方程为应用实例,构造了无穷序列尖峰孤立波解和无穷序列尖峰周期解.To construct infinite sequence peak solitary wave solutions to nonlinear evolution equations, Baicklund transformation of Riccati equation and nonlinear superposition formula of the solutions are introduced, then Degasperis - Procesi equation is taken as an example and infinite sequence peak solitary wave solutions and periodic solutions of the equation are obtained with the help of symbolic computation system Mathematica.

关 键 词：RICCATI方程 解的非线性叠加公式 尖峰孤立波解 DEGASPERIS-PROCESI方程 

分 类 号：O241.6[理学—计算数学]