On the full dispersion Kadomtsev-Petviashvili equations for dispersive elastic waves
From MaRDI portal
Publication:2684983
DOI10.1016/j.wavemoti.2022.103015OpenAlexW4285735692MaRDI QIDQ2684983
H. A. Erbay, Albert Kohen Erkip, Saadet Erbay
Publication date: 17 February 2023
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.06017
solitary wavestransverse instabilityKadomtsev-Petviashvili equationnonlocal elasticityfull dispersion
Nonlinear elasticity (74B20) Solitary waves in solid mechanics (74J35) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Coupled modified Kadomtsev-Petviashvili equations in dispersive elastic media
- Consistency of the KP approximation
- The Cauchy problem and stability of solitary-wave solutions for RLW--KP-type equations
- Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
- On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation
- Dispersive estimates for full dispersion KP equations
- Remarks on the full dispersion Kadomtsev-Petviashvli equation
- The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
- Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations
- Nonlocal Continuum Field Theories
- A numerical and theoretical study of certain nonlinear wave phenomena
- On Whitham and Related Equations
- Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics
- Generalization of the Zabolotskaya equation to all incompressible isotropic elastic solids
- Model equations for long waves in nonlinear dispersive systems
- Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity
This page was built for publication: On the full dispersion Kadomtsev-Petviashvili equations for dispersive elastic waves