摘要
通过构造辅助方程,把一类五阶非线性发展方程的求解问题转化为非线性代数方程组的求解问题,由此求得了该类五阶非线性方程的新的周期解.在极限情形,也得到了孤波解和三角函数解.
By constructing auxiliary differential equations, the question of solving a class of fifth-order nonlinear evolution equations is reduced that of solving nonlinear algebraic equations. New periodic wave solutions expressed by Jacobi elliptic functions to the fifth-order nonlinear equations are obtained. In the limit case, solitary wave solutions and trigonometric function solutions are obtained.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第5期539-541,共3页
Journal of Sichuan Normal University（Natural Science）
基金
四川省青年基金
四川省教育厅重点基金资助项目
关键词
五阶非线性发展方程
周期解
JACOBI椭圆函数
孤波解
Fifth-order nonlinear evolution equations
Periodic wave solutions
Jacobi elliptic functions
Solitary wave solutions
