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非线性传输线方程的几类显式精确解
Several types of explicit and exact solutions of nonlinear transmission line equation
【摘要】 应用试探函数方法求解非线性传输线方程.通过引入变换和选准试探函数,把难于求解的非线性偏微分方程化为易于求解的代数方程,然后用待定系数法确定相应的常数,从而简洁地求得了方程的精确解.
【Abstract】 Nonlinear transmission line equation is solved by the trial function method. By introducing transformation and selecting appropriate trial functions, the nonlinear partial differential equation that is hard to be solved by the usual ways can be reduced to a set of algebraic equation, which can be easily solved, and its related coefficients can be easily determined by the method of undetermined coefficient. Finally, the analytical solution of the equation is successfully derived.
【关键词】 试探函数方法;
非线性传输线方程;
精确解;
【Key words】 trial function method; nonlinear transmission line equation; exact solution;
【Key words】 trial function method; nonlinear transmission line equation; exact solution;
【基金】 甘肃省自然科学基金(0916RJZA047);兰州交通大学“青蓝”人才工程(QL-06-22A)资助项目
- 【文献出处】 大学物理 ,College Physics , 编辑部邮箱 ,2010年04期
- 【分类号】O175.29
- 【被引频次】3
- 【下载频次】195