Solitary wave solution for KdV equation with power-law nonlinearity and time-dependent coefficients
Solitary wave solution for KdV equation with power-law nonlinearity and time-dependent coefficients
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DOI：
10.1007/s11071-009-9480-5
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发表时间：
2009-02
影响因子：
5.6
通讯作者：
A. Biswas
中科院分区：
文献类型：
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作者：
A. Biswas
本文得到了具有含时系数和色散项的幂函数非线性Korteweg-de Vries方程的精确孤立波解。此外，还存在与时间相关的阻尼项和色散项。用孤立波ANSAZ进行了分析。只需要含时系数是Riemann可积的。作为例子，给出了柱面KdV方程的特例的解。
This paper obtains an exact solitary wave solution of the Korteweg–de Vries equation with power law nonlinearity with time-dependent coefficients of the nonlinear as well as the dispersion terms. In addition, there are time-dependent damping and dispersion terms. The solitary wave ansatz is used to carry out the analysis. It is only necessary for the time-dependent coefficients to be Riemann integrable. As an example, the solution of the special case of cylindrical KdV equation falls out.