应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2002年
3期
140-143
,共4页
内部%非传播孤波%多重尺度法
內部%非傳播孤波%多重呎度法
내부%비전파고파%다중척도법
Inner%Non-propagating Solitary Wave%Method of multiple Scales
本文主要研究在外部驱动下浅水槽内部的非传播孤波,用渐进方法中的多重尺度法较详细讨论和导出波动振幅所满足的非线性薛定谔方程及其非传播单孤波解.采用一些近似条件,又可以由非线性薛定谔方程得到两个独立的线性拉普拉斯方程.
本文主要研究在外部驅動下淺水槽內部的非傳播孤波,用漸進方法中的多重呎度法較詳細討論和導齣波動振幅所滿足的非線性薛定諤方程及其非傳播單孤波解.採用一些近似條件,又可以由非線性薛定諤方程得到兩箇獨立的線性拉普拉斯方程.
본문주요연구재외부구동하천수조내부적비전파고파,용점진방법중적다중척도법교상세토론화도출파동진폭소만족적비선성설정악방정급기비전파단고파해.채용일사근사조건,우가이유비선성설정악방정득도량개독립적선성랍보랍사방정.
It is pointed out that non-propagating solitary waves are excited not only on the surface but also everywhere inside the water contained in a rectangular through by external driver. In this paper by using the perturbation method of multiple scales, we obtain the expression of inner solitary waves, and besides give the details of the derivation of the nonlinear SchrOdinger equation and its single non-propagating solitary wave solution. It is an interesting conclusion that the Laplace equa tion may be obtained according to the Schrodinger equation under some approximate conditions.
