Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations
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Publication:2359309
DOI10.1016/j.wavemoti.2011.04.003zbMath1365.35138arXiv1104.3432OpenAlexW2152015319MaRDI QIDQ2359309
K. R. Moore, Karima R. Khusnutdinova
Publication date: 28 June 2017
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.3432
initial-value problemaveragingOstrovsky equationcoupled Boussinesq equationsasymptotic multiple-scale expansions
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic expansions of solutions to PDEs (35C20)
Related Items (12)
Solitons and conservation laws of coupled Ostrovsky equation for internal waves ⋮ Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq-Type Equation ⋮ Scaling and hierarchies of wave motion in solids ⋮ The initial-boundary value problem for the Ostrovsky-Vakhnenko equation on the half-line ⋮ Solitary wave propagation in elastic bars with multiple sections and layers ⋮ Scattering of an Ostrovsky wave packet in a delaminated waveguide ⋮ Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma ⋮ Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Waveguides ⋮ On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations ⋮ Interaction of solitons with long waves in a rotating fluid ⋮ On strongly interacting internal waves in a rotating ocean and coupled Ostrovsky equations ⋮ Weakly-Nonlinear Solution of Coupled Boussinesq Equations and Radiating Solitary Waves
Cites Work
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- A predictor-corrector scheme for the improved Boussinesq equation
- Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations
- Analytic studies and numerical simulations of the generalized Boussinesq equation
- Identification of solitary-wave solutions as an inverse problem: application to shapes with oscillatory tails
- The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation
- An implicit difference scheme for the long-time evolution of localized solutions of a generalized Boussinesq system
- Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
- Strongly nonlinear envelope soliton in a lattice model for periodic structure
- Numerical study of the improved Boussinesq equation
- Nonlinear stability and convergence of finite-difference methods for the good Boussinesq equation
- Solitary waves of a coupled Korteweg-de Vries system
- Numerical investigation for the solitary waves interaction of the good Boussinesq equation.
- A highly accurate finite-difference scheme for a Boussinesq-type equation
- Interacting localized waves for the regularized long wave equation via a Galerkin spectral method
- Modulational instability of two pairs of counter-propagating waves and energy exchange in a two-component system
- Generalized solitary waves and fronts in coupled Korteweg-de Vries systems
- On the Derivation of the Modified Kadomtsev-Petviashvili Equation
- Numerical simulations of the improved Boussinesq equation
- Weak and Strong Interactions between Internal Solitary Waves
- On radiating solitons in a model of the internal wave–shear flow resonance
- Decay and return of internal solitary waves with rotation
- Numerical solution of Boussinesq systems of KdV–KdV type: II. Evolution of radiating solitary waves
- Long-time Solutions of the Ostrovsky Equation
- The short-pulse equation and associated constraints
- Solitary waves on nonlinear elastic rods. I
- Elevation solitary waves with surface tension
- Resonantly interacting solitary waves
- Obliquely interacting solitary waves
- The two loop soliton solution of the Vakhnenko equation
- Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation
- Initial Time Layers and Kadomtsev–Petviashvili‐Type Equations
- A Modern Introduction to the Mathematical Theory of Water Waves
- Method for Solving the Korteweg-deVries Equation
- Amplification of Nonlinear Strain Waves in Solids
- Terminal Damping of a Solitary Wave Due to Radiation in Rotational Systems
- An integrable evolution equation for surface waves in deep water
- Solitary waves in nonlinear microstructured materials
- Model equations for long waves in nonlinear dispersive systems
- Embedded solitons: Solitary waves in resonance with the linear spectrum
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