Perturbed soliton solutions for an integral modified KdV equation

•An integral modified KdV equation is considered.•The KdV equation is solved for the solitons solutions using perturbation technique.•The effect of inhomogeneity is studied and show deformed soliton excitation. We investigate throughout this paper the effect of inhomogeneity on the propagation of so...

Full description

Saved in:
Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation Vol. 91; p. 105437
Main Authors: Saravanan, M., Herman, Russell L.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.12.2020
Elsevier Science Ltd
Subjects:
Eigenvalues
Eigenvectors
Ferromagnetism
Inhomogeneity
Integral equations
Korteweg-Devries equation
Nonlinear equations
Nonlinear evolution equations
Perturbation theory
Propagation
Solitary waves
ISSN:1007-5704, 1878-7274
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•An integral modified KdV equation is considered.•The KdV equation is solved for the solitons solutions using perturbation technique.•The effect of inhomogeneity is studied and show deformed soliton excitation. We investigate throughout this paper the effect of inhomogeneity on the propagation of solitons in ferromagnetic systems governing the magnetization evolution in a magnetic medium. Indeed we focus our attention on a nonlinear evolution equation derived by M. Saravanan and A. Arnaudon (2018 Phys. Lett. A 382 2638) that takes into account the inhomogeneity we are interested in. The perturbed soliton solutions are constructed using a multiple scale soliton perturbation theory by solving the associated linear eigenvalue problem with proper derivation of complete set of eigenfunctions. We present two types of inhomogeneities, such as localized and linear, and their effects on soliton propagation. It is found that the localized inhomogeneity supports stable soliton excitations with constant amplitude.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2020.105437