Corrections to the KdV Approximation for Water Waves

DOI10.1137/S0036141004444202zbMath1093.76010arXivmath/0406403OpenAlexW2140968478MaRDI QIDQ5470596

J. Douglas Wright

Publication date: 31 May 2006

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406403

zbMATH Keywords

solitary waveslinearized KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items

Surface water waves and tsunamis ⋮ On the mathematical description of time-dependent surface water waves ⋮ Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq-Type Equation ⋮ Validity of the Korteweg-de Vries approximation for the two-dimensional water wave problem in the arc length formulation ⋮ Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves ⋮ On the Korteweg–de Vries Long-Wave Approximation of the Gross–Pitaevskii Equation II ⋮ On the decoupling of the improved Boussinesq equation into two uncoupled Camassa-Holm equations ⋮ Large time existence for 3D water waves and asymptotics ⋮ Solitary water wave interactions ⋮ On the Korteweg-de Vries approximation for uneven bottoms ⋮ Discrete artificial boundary conditions for the linearized Korteweg-de Vries equation ⋮ Hamiltonian studies on counter-propagating water waves ⋮ On the long-wave approximation for the Euler-Poisson system ⋮ Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts ⋮ DECOUPLED AND UNIDIRECTIONAL ASYMPTOTIC MODELS FOR THE PROPAGATION OF INTERNAL WAVES