摘要
本文利用齐次平衡法确定了 KS型方程双曲正切函数解的参数所满足的方程组 ,并且展开相关讨论 ,如给出了解的几种特殊情况及双曲正切函数法的适定条件等 .为非线性发展方程的行波解 (孤立波解 )的求出给出了具有参考价值的理论与实例 .
In this paper,parametric equations of hyperbolic tangent solution to the KS equations are determined by use of the homogeneous balance method.Further discussion provides a useful theory and a practical example for the traveling wave solution to the nonlinear partial differential equations.This method has quite universal referential value,especially for the solution of similar problems by way of mathematical mechanization.
出处
《内蒙古工业大学学报(自然科学版)》
2002年第2期81-83,共3页
Journal of Inner Mongolia University of Technology:Natural Science Edition
基金
国家自然科学基金资助 (1 9861 0 0 3 )
内蒙古自然科学基金资助 (2 0 0 0 )