Solitary Wave Solutions of a Hyperelastic Dispersive Equation

Autor:	Yuheng Jiang, Yu Tian, Yao Qi
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	hyperelastic compressible plate solitary wave solutions geometric singular perturbation theory Hamiltonian function bifurcation theory Melnikov methods Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 4, p 564 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12040564
Popis:	This paper explores solitary wave solutions arising in the deformations of a hyperelastic compressible plate. Explicit traveling wave solution expressions with various parameters for the hyperelastic compressible plate are obtained and visualized. To analyze the perturbed equation, we employ geometric singular perturbation theory, Melnikov methods, and invariant manifold theory. The solitary wave solutions of the hyperelastic compressible plate do not persist under small perturbations for wave speed c>−βk2. Further exploration of nonlinear models that accurately depict the persistence of solitary wave solution on the significant physical processes under the K-S perturbation is recommended.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/21e4d0e96a0f4bfca5a2f9d691544b06 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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