物理学报2011,Vol.60Issue(7):25-33,9.
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
摘要
Abstract
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Key words
Riccati equation/nonlinear superposition formula of the solutions/peak solitary wave solution/Degasperis -Procesi equation分类
数理科学引用本文复制引用
套格图桑..Degasperis-Procesi方程的无穷序列尖峰孤立波解[J].物理学报,2011,60(7):25-33,9.基金项目
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)和内蒙古自治区自然科学基金(批准号:20101~1S0111)资助的课题. ()