Cusp Soliton of a New Integrable Nonlinear Evolution Equation

Cusp Soliton of a New Integrable Nonlinear Evolution Equation
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DOI:
10.1143/ptp.64.1959
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发表时间:
1980-12
影响因子:
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通讯作者:
M. Wadati;Y. Ichikawa;Toru Shimizu
M. Wadati;Y. Ichikawa;Toru Shimizu
中科院分区:
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文献类型:
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作者:
M. Wadati;Y. Ichikawa;Toru Shimizu

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给出了求解可积非线性演化方程qt-2(1/√1+q)xxx=0的逆散射方法。证明了一个新的可积非线性演化方程rt+(1-r)3rxxx=0具有奇异尖形孤子解(尖孤子),该方程可转化为上述方程。
Inverse scattering method for the already found integrable nonlinear evolution equationqt-2(1/ √1+q)xxx=0 is presented. A new integrable nonlinear evolution equationrt+(1-r)3rxxx=0, which can be transformed into the above-mentioned equation, is shown to have a singular spiky soliton solution (cusp soliton).