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Algebro-geometric solutions to a hierarchy of (1 + 1)-dimensional and two new (2 + 1)-dimensional nonlinear evolution equations

✍ Scribed by Jinbing Chen

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 193 KB
Volume: 19
Category: Article
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(03)00257-1

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✦ Synopsis

Two new 2 + 1 dimensional nonlinear evolution equations are presented. The 2 + 1 dimensional equations closely relate with a hierarchy of 1 + 1 dimensional soliton equations. Through nonlinearizing of Lax pairs, the 1 + 1 dimensional evolution equations are decomposed to the finite dimensional integrable Hamiltonian systems. Finally by applying Riemann-Jacobi inversion technique, the algebro-geometric solutions of the 1 + 1 dimensional soliton equation hierarchy as well as two 2 + 1 dimensional equations are obtained.

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Algebro-geometric solutions to a hierarchy of (1&#xa0;+&#xa0;1)-dimensional and two new (2&#xa0;+&#xa0;1)-dimensional nonlinear evolution equations

✦ Synopsis

Algebro-geometric solutions to a hierarchy of (1 + 1)-dimensional and two new (2 + 1)-dimensional nonlinear evolution equations