Ordering of two small parameters in the shallow water wave problem
From MaRDI portal
Publication:4915689
DOI10.1088/1751-8113/46/7/075501zbMath1311.76011arXiv1301.6672OpenAlexW3099437587MaRDI QIDQ4915689
Georgy I. Burde, Artur Sergyeyev
Publication date: 11 April 2013
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.6672
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items
Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model ⋮ New exact superposition solutions to KdV2 equation ⋮ Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation ⋮ A finite element method for extended KdV equations ⋮ One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem ⋮ Adiabatic invariants of the extended KdV equation ⋮ (2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions ⋮ Can simple KdV-type equations be derived for shallow water problem with bottom bathymetry? ⋮ Extended symmetry analysis of an isothermal no-slip drift flux model ⋮ On symmetries and conservation laws of the Majda-Biello system ⋮ Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules ⋮ Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation ⋮ Effects of viscosity and surface tension on soliton dynamics in the generalized KdV equation for shallow water waves
This page was built for publication: Ordering of two small parameters in the shallow water wave problem