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Basis systems on the torus generated by finite-zone integration of the Korteweg-de Vries equation

✍ Scribed by Yu. M. Vorob'ev; S. Yu. Dobrokhotov

Publisher
SP MAIK Nauka/Interperiodica
Year
1990
Tongue
English
Weight
692 KB
Volume
47
Category
Article
ISSN
0001-4346

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## Abstract In this paper, the homotopy perturbation method is used to implement the nonlinear Korteweg–de Vries equation. The analytical solution of the equation is calculated in the form of a convergent power series with easily computable components. A suitable choice of an initial solution can l