Multi‐soliton‐like solutions to the Benjamin–Ono equation
Multi‐soliton‐like solutions to the Benjamin–Ono equation
复制标题
本杰明-小野方程的类多孤子解
DOI：
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发表时间：
1977
期刊：
影响因子：
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通讯作者：
R. Joseph
中科院分区：
文献类型：
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作者：
R. Joseph
我们概述了一个系统的方法，获得特殊的解决方案的非线性，积分微分方程得到本杰明和小野在他们的研究有限振幅波的传播流体的深度很大。这些解具有渐近分解成一系列N个永久形式的空间局域波的性质;我们粗略地将这些称为“N-孤子”解。两孤子解的详细结果明确给出。
We outline a systematic method of obtaining particular solutions to the nonlinear, integrodifferential equation obtained by Benjamin and Ono in their study of the propagation of finite amplitude waves in fluids of great depth. These solutions have the property of asymptotically breaking up into a series of N spatially localized waves of permanent form; we loosely refer to these as ’’N‐soliton’’ solutions. Detailed results for the two‐soliton solution are explicitly given.