Cover Image

Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials

The nonlinear dispersive wave equation inside the cylindrical elastic rod is derived by applying the Navier–Bernoulli hypothesis and Love's relation. The elastic rod is assumed to be composed of the Murnaghan's materials such as Lamé’s coefficient, Poisson ratio and constitutive constant w...

Full description

Saved in:
Bibliographic Details
Main Authors: Silambarasan, Rathinavel, Kılıçman, Adem
Format: Article
Published: Elsevier 2023
Online Access:http://psasir.upm.edu.my/id/eprint/109053/
https://linkinghub.elsevier.com/retrieve/pii/S0378475422003160
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.109053
record_format eprints
spelling my.upm.eprints.1090532024-10-14T03:51:05Z http://psasir.upm.edu.my/id/eprint/109053/ Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials Silambarasan, Rathinavel Kılıçman, Adem The nonlinear dispersive wave equation inside the cylindrical elastic rod is derived by applying the Navier–Bernoulli hypothesis and Love's relation. The elastic rod is assumed to be composed of the Murnaghan's materials such as Lamé’s coefficient, Poisson ratio and constitutive constant which are compressible in nature. In this research paper we apply the two integral architectures namely extended sine–Gordon method and modified exponential function method to study the dispersive wave and solve for the solitons and their classifications. The topological (or) dark soliton, compound topological–non-topological (bright–dark) solitons are obtained by extended sine–Gordon method. The soliton like and singular periodic solutions are obtained by modified exponential function method. The existence of the number of solutions are proved with respect to the linear equation obtained by balancing principle. The related two and three dimensional graphs are simulated and drawn to show the complex structures. Elsevier 2023-01 Article PeerReviewed Silambarasan, Rathinavel and Kılıçman, Adem (2023) Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials. Mathematics and Computers in Simulation, 203. pp. 699-720. ISSN 0378-4754 https://linkinghub.elsevier.com/retrieve/pii/S0378475422003160 10.1016/j.matcom.2022.07.014
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description The nonlinear dispersive wave equation inside the cylindrical elastic rod is derived by applying the Navier–Bernoulli hypothesis and Love's relation. The elastic rod is assumed to be composed of the Murnaghan's materials such as Lamé’s coefficient, Poisson ratio and constitutive constant which are compressible in nature. In this research paper we apply the two integral architectures namely extended sine–Gordon method and modified exponential function method to study the dispersive wave and solve for the solitons and their classifications. The topological (or) dark soliton, compound topological–non-topological (bright–dark) solitons are obtained by extended sine–Gordon method. The soliton like and singular periodic solutions are obtained by modified exponential function method. The existence of the number of solutions are proved with respect to the linear equation obtained by balancing principle. The related two and three dimensional graphs are simulated and drawn to show the complex structures.
format Article
author Silambarasan, Rathinavel
Kılıçman, Adem
spellingShingle Silambarasan, Rathinavel
Kılıçman, Adem
Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials
author_facet Silambarasan, Rathinavel
Kılıçman, Adem
author_sort Silambarasan, Rathinavel
title Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials
title_short Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials
title_full Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials
title_fullStr Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials
title_full_unstemmed Solitons of dispersive wave steered from Navier–Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials
title_sort solitons of dispersive wave steered from navier–bernoulli and love’s hypothesis in cylindrical elastic rod with compressible murnaghan’s materials
publisher Elsevier
publishDate 2023
url http://psasir.upm.edu.my/id/eprint/109053/
https://linkinghub.elsevier.com/retrieve/pii/S0378475422003160
_version_ 1814054686337007616
score 13.244368

Similar Items