On the Solution to the Inverse Problem for the Toda Chain
نویسنده
چکیده
The “elliptic” version of a three-dimensional nonlinear integrable equation, the Toda chain equation, is studied by means of the inverse scattering method. Several classes of decaying solutions corresponding to both the continuous and discrete spectrum of the associated spectral problem are obtained. Conditions that guarantee reality and analyticity along with relevant estimates are also given. Finally a class of solutions with rotational symmetry is constructed.
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ورودعنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 59 شماره
صفحات -
تاریخ انتشار 1998