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

详细信息

APPLICATION OF HOMOGENEOUS BALANCE METHOD AND THE -EXPANSION METHOD TO ONE-DIMENSIONAL SYMMETRIC REGULARIZED-LONG-WAVE EQUATION

摘要: 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.
- 一维对称正则长波方程 /
- 齐次平衡法 /
- （Ω/g）展开法 /
- 双孤子解
Abstract: Homogeneous balance method and the -expansion method are applied to slove the one-dimensional Symmetric Regularized-Long-Wave Equation. Some new solutions are obtained and discussed.
- one-dimensional Symmetric Regularized-Long-Wave Equation /
- homogeneous balance method /
- the (ω/g)-expansion method /
- double solitons solution