Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
K-dV Soliton in Inhomogeneous System
Shinsuke WatanabeNobuo Yajima
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ジャーナル 認証あり

1984 年 53 巻 10 号 p. 3325-3334

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The propagation of a soliton in an inhomogeneous medium is investigated numerically by the following K-dV type equation;
ut+6uux+uxxx+c(t)u=0.
The inhomogeneous coefficient c(t) is assumed to be zero except for the period, 0≤tT. When the integral of c(t) from t=0 to t=T is negative, a soliton grows and generates small solitons. In the case where the integral is positive, a soliton diminishes and does not produce new soliton. In either case, the solution depends on the ratio of the distance that an initial soliton is propagated in the period 0≤tT to the width of the soliton.
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