摘要
叙述齐次平衡原则及其在非线性数学物理中的应用：根据该原则可导出一大类非线性 Ｐ Ｄ Ｅ 的非线性变换，并借之得到方程的精确解；利用计算机的符号计算系统获得许多非线性 Ｐ Ｄ Ｅ的孤立波解；
The homogeneous balance principle and its applications in nonlinear mathematical physics are described:various nonlinear transformations for a large number of nonlinear PDEs are derived, by which the exact solutions of the corresponding nonlinear PDEs are obtained; the solitary wave solutions for numbers of nonlinear PDEs are acquired by using the symbolic computation system of a computer; the unique exact solution to the nonlinear boundary initial value problem of some nonlinear PDEs can be exactly expressed.
出处
《兰州大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
1999年第3期8-16,共9页
Journal of Lanzhou University(Natural Sciences)
基金
甘肃省自然科学基金
关键词
齐次平衡原则
非线性变换
精确解
偏微分方程
homogeneous balance principle
nonlinear transformations
symbolic computation
nonlinear PDEs
boundary initial value problems
