A diversity of localized structures in a (2 + 1)-dimensional KdV equation

Yan ze Peng, Hui Feng, E. V. Krishnan

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3 Citations (Scopus)

Abstract

The singular manifold method is used to solve a (2 + 1)-dimensional KdV equation. An exact solution containing two arbitrary functions is then obtained. A diversity of localized structures, such as generalized dromions and solitoffs, is exposed by making full use of these arbitrary functions. These localized structures are illustrated by graphs.

Original languageEnglish
Pages (from-to)1842-1849
Number of pages8
JournalApplied Mathematical Modelling
Volume33
Issue number4
DOIs
Publication statusPublished - Apr 2009

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Keywords

  • (2 + 1)-dimensional KdV equation
  • Localized structures
  • The singular manifold method

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation

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