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Localized coherent structures and integrability in a generalized (2 + 1)-dimensional nonlinear Schrödinger equation

✍ Scribed by R. Radha; M. Lakshmanan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
580 KB
Volume
8
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

✦ Synopsis

A generalized (2 + 1)-dimensional nonlinear Schriidinger equation introduced recently by

Fokas is investigated and is shown to admit the Painleve property. The Hirota bilinearization directly follows from the singularity analysis. Localized dromion solutions, which arise essentially due to the interaction of two nonparallel ghost solitons and localized breather solutions (time oscillating solutions), are constructed using the Hirata method. This method can be rigorously pursued to generate multidromions and multibreathers.

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