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Cauchy Problem for Integrable Discrete Equations on Quad-Graphs

✍ Scribed by V. E. Adler; A. P. Veselov


Book ID
106334504
Publisher
Springer Netherlands
Year
2004
Tongue
English
Weight
915 KB
Volume
84
Category
Article
ISSN
0167-8019

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In this paper, we propose and study a fully discretization for computing the positive and (possibly) blowing-up solution of the Cauchy problem: u t -j 2 x u m = u p 1 in R, where m ∈ (0, 1), p 1 > 1, > 0, with an initial condition u 0 assumed to be a nonnegative and continuous function with compact