We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Solitary Wave Solutions of a Hyperelastic Dispersive Equation.
- Authors
Jiang, Yuheng; Tian, Yu; Qi, Yao
- Abstract
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 > − β k 2 . 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.
- Subjects
SINGULAR perturbations; INVARIANT manifolds; PERTURBATION theory; EQUATIONS; NONLINEAR evolution equations; HAMILTON'S principle function
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 4, p564
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12040564