Singularity formation in the generalized Benjamin-Ono equation
From MaRDI portal
Publication:1884494
DOI10.3934/dcds.2004.11.27zbMath1063.35134OpenAlexW2037968747MaRDI QIDQ1884494
Publication date: 1 November 2004
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2004.11.27
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
Related Items
Comparison of three spectral methods for the Benjamin-Ono equation: Fourier pseudospectral, rational Christov functions and Gaussian radial basis functions ⋮ Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study ⋮ Periodic waves in the fractional modified Korteweg-de Vries equation ⋮ On periodic solutions of interfacial waves of finite amplitude ⋮ Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation ⋮ Higher order dispersive effects in regularized Boussinesq equation ⋮ Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation ⋮ Higher dimensional generalization of the Benjamin‐Ono equation: 2D case ⋮ Numerical solution for a general class of nonlocal nonlinear wave equations arising in elasticity ⋮ Numerical approximation to Benjamin type equations. Generation and stability of solitary waves ⋮ High order conservative schemes for the generalized Benjamin-Ono equation on the unbounded domain ⋮ On the regularity and symmetry of periodic traveling solutions to weakly dispersive equations with cubic nonlinearity ⋮ Numerical and perturbative computations of solitary waves of the Benjamin-Ono equation with higher order nonlinearity using Christov rational basis functions ⋮ Dispersive shock waves in systems with nonlocal dispersion of Benjamin–Ono type ⋮ Strongly nonlinear perturbation theory for solitary waves and bions ⋮ A numerical approach to blow-up issues for dispersive perturbations of Burgers' equation
