Coupled KdV equations derived from two-layer fluids
Coupled KdV equations derived from two-layer fluids
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DOI：
10.1088/0305-4470/39/3/005
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发表时间：
2005-08
期刊：
影响因子：
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通讯作者：
S. Lou;Bin Tong;Hengchun Hu;Xiaoyan Tang
中科院分区：
文献类型：
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作者：
S. Lou;Bin Tong;Hengchun Hu;Xiaoyan Tang
某些类型的耦合Korteweg de-Vries（KdV）方程是从两层流体系统中推导出来的。在推导过程中，一个不合理的y平均技巧（通常采用的文献）被删除。通过Painleve检验对导出的模型进行分类。利用通常的KdV方程的精确解，给出了模型的三种τ函数和多孤子解.研究还发现，非Painleve可积耦合KdV系统可以有多个孤子解。
Some types of coupled Korteweg de-Vries (KdV) equations are derived from a two-layer fluid system. In the derivation procedure, an unreasonable y-average trick (usually adopted in the literature) is removed. The derived models are classified by means of the Painleve test. Three types of τ-function and multiple soliton solutions of the models are explicitly given via the exact solutions of the usual KdV equation. It is also discovered that a non-Painleve integrable coupled KdV system can have multiple soliton solutions.