High‐Order Soliton Solution of Landau–Lifshitz Equation. Issue 2 (6th September 2014)

• Record Type: Journal Article
• Authors: Bian, Dongfen; Guo, Boling; Ling, Liming
• Is Part Of: Studies in applied mathematics. Volume 134:Issue 2(2015)
• Page Start: 181
• Page End: 214
• Publication Date: 2014-09-06
• Subjects: Mathematics -- Periodicals; Mathématiques -- Périodiques; Mathématique; Mathématique appliquée; Ressource Internet (Descripteur de forme); Périodique électronique (Descripteur de forme); 519
• DOI: 10.1111/sapm.12051
• Languages: English
• ISSNs: 0022-2526

Abstract

<abstract abstract-type="main"> <title> <x xml:space="preserve">Abstract</x> </title> <p>The Landau–Lifshitz equation is analyzed via the inverse scattering method. First, we give the well‐posedness theory for Landau–Lifshitz equation with the frame of inverse scattering method. The generalized Darboux transformation is rigorous considered in the frame of inverse scattering transformation. Finally, we give the high‐order soliton solution formula of Landau–Lifshitz equation and vortex filament equation.</p> </abstract>