一维对称正则长波方程的齐次平衡法和(ω/g)展开法的研究

APPLICATION OF HOMOGENEOUS BALANCE METHOD AND THE (ω/g)-EXPANSION METHOD TO ONE-DIMENSIONAL SYMMETRIC REGULARIZED-LONG-WAVE EQUATION

以一维对称正则长波方程作为研究对象,利用求解非线性偏微分方程时常用的齐次平衡法以及一种比较新颖的(ω/g)展开法求出一维对称正则长波方程的孤子解,并对方程的解进行了详细的分析讨论.

Homogeneous balance method and the（ω/g）-expansion method are applied to slove the one-dimensional Symmetric Regularized-Long-Wave Equation.Some new solutions are obtained and discussed.