非线性弹性杆中的NLS型孤波

NLS solitary waves in a nonlinear elastic rod

从理论上给出了在非线性弹性杆中存在的ＮＬＳ型孤波以及此孤波所满足的非线性Ｓｃｈｒｄｉｎｇｅｒ方程． 当非线性常数ｎ＝ ２ 时， 存在ＫｄＶ孤立子； 而对于ｎ＝ ３ 的非线性弹性杆， 不存在ＫｄＶ 孤立子。

The NLS solitary waves and nonlinear Schrdinger equation are obtained.If n=2 for a nonlinear elastic rod,there are KdV solitary waves,but if n=3 for a nonlinear elastic rod,there are no KdV solitary waves,however,there are NLS solitary waves.