Direct and inverse scattering problems of the nonlinear intermediate long wave equation
Direct and inverse scattering problems of the nonlinear intermediate long wave equation
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非线性中长波方程的正散射和逆散射问题
DOI：
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发表时间：
1982
期刊：
影响因子：
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通讯作者：
J. Satsuma
中科院分区：
文献类型：
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作者：
Y. Kodama;M. Ablowitz;J. Satsuma
讨论了一类非线性奇异积分微分方程的逆散射变换方法.该方程描述了有限深度分层流体中的重力长内波，并简化为浅水边界的Korteweg-de弗里斯方程和深水边界的Benjamin-Ono方程。这两个限制的方法和新的方面的理论也进行了讨论。
The inverse scattering transformation method associated with a nonlinear singular integrodifferential equation is discussed. The equation describes long internal gravity waves in a stratified fluid of finite depth, and reduces to the Korteweg–de Vries equation as shallow water limit and the Benjamin–Ono equation as deep water limit. Both limits of the method and novel aspects of the theory are also discussed.