Yu-Toda-Sasa-Fukuyama方程的对称、约化和精确解

摘要

利用经典李群法得到了YTSF方程的对称、约化，通过解约化方程得到了该方程的一些精确解，其中包括双曲函数解、三角函数解、有理函数解、Jacobi椭圆函数解等。%Using the classical Lie group method,the symmetries and the reductions of (3 +1 )-Dimensional Yu-Toda-Sasa-Fukuyama (YTSF for short)equation are obtained.At the same time,a great many of solutions are derived by solving the reduction equations, including the rational functions,hyperbolic functions,the trigonometric functions,Jacobi elliptic function and so on.