A Note on Modulational Instability of a Nonlinear Klein-Gordon Equation
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概要
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The linear stability of uniform solutions of a complex nonlinear Klein-Gordonequation A, -A.. -GA -7Vl.=4 l'.4=0, where G and N are real coefficients, is in-vestigated. Two kinds of uniform solutions are treated: one is a wave train solutiona. exp (iot) where a. is a constant real amplitude; the other is a temporally periodicsolution in terms of Jacobian elliptic function. The former is found to be unstable inthe subcritical state (i.e. G<0, N>0); the latter is found to be unstable in both sub-critical and supercritical (i.e. G>0, .N<0) states. The stability digrams are given inboth cases.
- 社団法人日本物理学会の論文
- 1986-11-15
著者
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MURAKAMI Youichi
Department of Physics, Tohoku University
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Murakami Y
Department Of Physics Faculty Of Science Kyoto University
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Murakami Youichi
Department Of Aerospace Engineering College Of Engineering Osaka Prefecture University
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