Conservation Laws and Integral Relations for the Boussinesq Equation

DOI10.1111/sapm.12174zbMath1374.35301arXiv1611.09505OpenAlexW3121745389MaRDI QIDQ4592635

Peter A. Clarkson, Adrian Ankiewicz, Andrew P. Bassom, Ellen Dowie

Publication date: 7 November 2017

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09505

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Hyperbolic conservation laws (35L65) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (6)

A new technique for preserving conservation laws ⋮ Multi-soliton, rogue wave and periodic wave solutions of generalized \((2+1)\) dimensional Boussinesq equation ⋮ Representing rogue waves in minimal form ⋮ Bäcklund transformations for the Boussinesq equation and merging solitons ⋮ A connection between the maximum displacements of rogue waves and the dynamics of poles in the complex plane ⋮ Boussinesq hierarchy and bi-Hamiltonian geometry

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