Exact Soliton Solutions of the One-dimensional Complex Swift-Hohenberg Equation

Maruno, K-I; Ankiewicz, Adrian; Akhmediev, Nail

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Exact Soliton Solutions of the One-dimensional Complex Swift-Hohenberg Equation

Date

2003

Authors

Maruno, K-I

Ankiewicz, Adrian

Akhmediev, Nail

Publisher

Elsevier

Abstract

Using Painlevé analysis, the Hirota multi-linear method and a direct ansatz technique, we study analytic solutions of the (1+1)-dimensional complex cubic and quintic Swift-Hohenberg equations. We consider both standard and generalized versions of these e