摘要
求解Ginzburg-Landau方程在光纤通信中具有重要意义,为此提出一种求解该方程的新方法,即根据齐次平衡原则,利用F-展开法的思想求出其行波解。利用了Riccati方程已知的三角函数和双曲函数表示的解,得到了Ginzburg-Landau方程的多个包络波形式的精确解,并发现了频散系数和Landau系数之间的重要关系。
Solving Ginzburg-Landau equation is of great significance in optical fiber communication. A new method to solve this equation is proposed. By using the homogeneous balance principle (HBP) and the F-expansion method, some traveling wave solutions are obtained. By using the known solutions expressed by triangle functions and hyperbolic functions of Riccati equation, a lot of envelope wave solutions for Ginzburg-Landau equation are obtained. And an important relation between dispersive coefficient and Landau coefficient is discovered.
出处
《河南科技大学学报（自然科学版）》
CAS
2004年第6期78-81,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)
