Extended resolvent of the heat operator with a multisoliton potential
Extended resolvent of the heat operator with a multisoliton potential
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具有多孤子势的热算子的扩展解析
DOI：
10.1007/s11232-012-0094-6
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
A. Pogrebkov
中科院分区：
文献类型：
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作者：
M. Boiti;F. Pempinelli;A. Pogrebkov
考虑具有一般多孤子势的热算子，导出了它依赖于参数q ∈ φ 2的扩展预解式。我们证明了它在所有变量中是有界的，并找到了它的奇性。我们引入了绿色函数并详细研究了它们的性质。
We consider the heat operator with a general multisoliton potential and derive its extended resolvent depending on a parameter q ∈ ℝ2. We show that it is bounded in all variables and find its singularities inq. We introduce the Green’s functions and study their properties in detail.