Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation

Authors
Geng, XG Wu, YT Cao, CW
Citation
Xg. Geng et al., Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation, J PHYS A, 32(20), 1999, pp. 3733-3742
Citations number
18
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
20
Year of publication
1999
Pages
3733 - 3742
Database
ISI
SICI code
0305-4470(19990521)32:20<3733:QSOTMK>2.0.ZU;2-I
Abstract
The (2 + 1)-dimensional modified Kadomtsev-Petviashvili equation is decompo sed into systems of integrable ordinary differential equations resorting to the nonlinearization of Lax pairs. Abel-Jacobi coordinates are introduced to straighten the flows, from which quasi-periodic solutions of the modifie d Kadomtsev-Petviashvili equation are obtained in terms of Riemann theta fu nctions.