Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2012-03-21
Nonlinear Sciences
Exactly Solvable and Integrable Systems
arXiv admin note: text overlap with arXiv:1201.0152
Scientific paper
The heat operator with a general multisoliton potential is considered and its
extended resolvent, depending on a parameter $q\in\R^2$ is derived. Its
boundedness properties in all variables and its discontinuities in the
parameter $q$ are given. As the result, the Green's functions are introduced
and their properties are studied in detail.
Boiti Marco
Pempinelli Flora
Pogrebkov Andrei K.
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