摘要
Jacobi椭圆函数在求解非线性偏微分方程(组)中具有重要作用。本文给出了有关Jacobi椭圆函数的四个恒等式,这些恒等式在利用F 展开法求解非线性偏微分方程(组)中,可简化所得代数方程组的形式,并使解的表示更为简洁。
Jacobi elliptic function is very useful for solving nonlinear partial differential equation(s).Four identities were found by the anthors relating to Jacobi elliptic functions. When the use of F-expansion to solve nonlinear partial differential equation(s), these identities can simplify the form of algebraic equations obtained in solving course, as well as the expression of solutions.
出处
《河南科技大学学报(自然科学版)》
CAS
2004年第3期83-86,共4页
Journal of Henan University of Science And Technology:Natural Science
基金
河南省自然科学基金资助项目(0111050200)
河南省教育厅自然科学基金资助项目(2003110003)
河南科技大学科研基金资助项目(2003QN13).