Solitons on moving space curves
Solitons on moving space curves
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DOI：
10.1063/1.523453
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发表时间：
1977-08
影响因子：
1.3
通讯作者：
G. Lamb
中科院分区：
文献类型：
--
作者：
G. Lamb
结果表明，某些类型的螺旋空间曲线的运动可能与sine-Gordon方程和Hirota方程有关（进而与非线性Schrodinger方程和修正的Korteweg-de弗里斯方程有关）。的内在方程，支配空间曲线的运动，提供了各种线性方程，已被引入到解决这些演化方程的逆散射方法。
It is shown that the motion of certain types of helical space curves may be related to the sine–Gordon equation and to the Hirota equation (and consequently to the nonlinear Schrodinger equation and to the modified Korteweg–de Vries equation). The intrinsic equations that govern the motion of space curves are shown to provide the various linear equations that have been introduced to solve these evolution equations by inverse scattering methods.