An integrable soliton hierarchy associated with the Boiti–Pempinelli–Tu spectral problem
An integrable soliton hierarchy associated with the Boiti–Pempinelli–Tu spectral problem
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与 Boiti-Pempinelli-Tu 谱问题相关的可积孤子层次
DOI：
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
Solomon Manukure
中科院分区：
文献类型：
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作者：
E. Appiah;Solomon Manukure
基于Tu格式[G.- Z. Tu，J.Math.Phys.30（1989）330]，我们从与李代数[公式：见正文]相关的矩阵谱问题构造了Boiti-Pempinelli-Tu孤子族的对应物，并通过迹恒等式表示了所得孤子方程的Hamilton结构。然后，我们表明，新提出的方程具有无穷多个交换对称性和守恒律。最后，我们从新的层次，著名的组合KdV-mKdV方程。
Based on the Tu scheme [G.-Z. Tu, J. Math. Phys. 30 (1989) 330], we construct a counterpart of the Boiti–Pempinelli–Tu soliton hierarchy from a matrix spectral problem associated with the Lie algebra [Formula: see text], and formulate Hamiltonian structures for the resulting soliton equations by means of the trace identity. We then show that the newly presented equations possess infinitely many commuting symmetries and conservation laws. Finally, we derive the well-known combined KdV-mKdV equation from the new hierarchy.