Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitons
Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitons
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DOI：
10.1088/0266-5611/23/1/015
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发表时间：
2007-01
期刊：
影响因子：
2.1
通讯作者：
Chunxia Li;W. Ma;Xiaojun Liu;Yunbo Zeng
中科院分区：
文献类型：
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作者：
Chunxia Li;W. Ma;Xiaojun Liu;Yunbo Zeng
本文给出了Boussinesq方程的朗斯基式，该方程涉及由线性偏微分方程组成的一组广泛的充分条件。在充分条件下，得到了微分方程的代表性方程组的显式解。所得到的解公式为我们提供了一个全面的方法来构造Boussinesq方程的精确解和显式解，并由此计算了Boussinesq方程的孤子、负、位置和络合。
A Wronskian formulation is presented for the Boussinesq equation, which involves a broad set of sufficient conditions consisting of linear partial differential equations. The representative systems of the differential equations in the sufficient conditions are explicitly solved. The obtained solution formulae provide us with a comprehensive approach to construct exact and explicit solutions to the Boussinesq equation, by which solitons, negatons, positons and complexitons are computed for the Boussinesq equation.