The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation
From MaRDI portal
Publication:1325886
DOI10.1016/0167-2789(93)90091-EzbMath0791.35119OpenAlexW2032741615MaRDI QIDQ1325886
E. S. Benilov, E. P. Kuznetsova, R. H. J. Grimshaw
Publication date: 5 June 1994
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(93)90091-e
Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items
Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations, Semi-stability of embedded solitons in the general fifth-order KdV equation, Extended shallow water wave equations, Weakly Nonlocal Solitary Waves in a Singularly Perturbed Nonlinear Schrödinger Equation, Problem of breakdown of solitary waves and discontinuities, Shock Waves in Dispersive Hydrodynamics with Nonconvex Dispersion, Hybridized successive complementary expansions for solving convection-dominated 2D elliptic PDEs with boundary layers, A simple model of radiating solitary waves, Traveling wave solutions of the Kawahara equation joining distinct periodic waves, Convective modulation instability of the radiation of the periodic component in the case of resonance of long and short waves, Structure of internal solitary waves in two-layer fluid at near-critical situation, Local well-posedness and time regularity for a fifth-order shallow water equations in analytic Gevrey-Bourgain spaces, Numerical study of generalized interfacial solitary waves, Evolution of radiating solitons described by the fifth-order Korteweg-de Vries type equations, Lie symmetry analysis to general time-fractional Korteweg-de Vries equations, Nanoptera and Stokes curves in the 2-periodic Fermi-Pasta-Ulam-Tsingou equation, Numerical study of formation of solitary strain waves in a nonlinear elastic layered composite material, Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Waveguides, On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations, Periodic traveling waves in a generalized BBM equation with weak backward diffusion and dissipation terms, Weakly non-local solitary wave solutions of a singularly perturbed Boussinesq equation, Interfacial waves with free-surface boundary conditions: An approach via a model equation, Solitary waves in mass-in-mass lattices, Faraday resonance: asymptotic theory of surface waves, Radiative decay of weakly nonlocal solitary waves., A plethora of generalised solitary gravity–capillary water waves, On the formation of bound states by interacting nonlocal solitary waves, Well-posedness for the fifth-order shallow water equations, Three-dimensional solitary waves in the presence of additional surface effects, Nanoptera in nonlinear woodpile chains with zero precompression, Radiating solitary waves of a model evolution equation in fluids of finite depth, Solitary wave decay in non-linear Faraday resonance, Solitary waves in media with dispersion and dissipation. (A review), Analytical and numerical studies of a singularly perturbed Boussinesq equation., Local and global existence of solutions of initial value problems of nonlinear Kaup-Kupershmidt equations, Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains
Cites Work
- Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
- Existence of perturbed solitary wave solutions to a model equation for water waves
- Structural stability of the Korteweg-de Vries solitons under a singular perturbation
- Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions
- Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
- Solitary and periodic gravity—capillary waves of finite amplitude
- Exact solitary water waves with capillary ripples at infinity
- On the existence of homoclinic and heteroclinic orbits for differential equations with a small parameter
- Elevation solitary waves with surface tension
- Solitary internal waves with oscillatory tails
- Long periodic internal waves
- Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation