Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation

In this paper, we study the different types of new soliton solutions to the Landau–Lifshitz equation with the aid of the auxiliary equation method. Then, we get some special soliton solutions for this equation. Without the Gilbert damping term, we present a travelling wave solution with a finite ene...

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Bibliographic Details
Published inAdvances in Mathematical Physics Vol. 2021; pp. 1 - 7
Main Author Neirameh, Ahmad
Format Journal Article
LanguageEnglish
Published New York Hindawi 31.03.2021
John Wiley & Sons, Inc
Wiley
Subjects
Algebra
Damping
Differential equations
Dynamical systems
Partial differential equations
Physics
Solitary waves
Traveling waves
Online AccessGet full text
ISSN1687-9120
1687-9139
DOI10.1155/2021/5538516

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Summary:In this paper, we study the different types of new soliton solutions to the Landau–Lifshitz equation with the aid of the auxiliary equation method. Then, we get some special soliton solutions for this equation. Without the Gilbert damping term, we present a travelling wave solution with a finite energy in the initial time. The parameters of the soliton envelope are obtained as a function of the dependent model coefficients.
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ISSN:1687-9120
1687-9139
DOI:10.1155/2021/5538516