Conservation laws and conserved quantities for (1+1)D linearized Boussinesq equations

DOI10.1016/j.cnsns.2016.10.015zbMath1485.35337OpenAlexW2536714846MaRDI QIDQ2005140

Cindy Carvalho, Charis Harley

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.10.015

zbMATH Keywords

conservation lawsBoussinesq equationsconserved quantities

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

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• A Modern Introduction to the Mathematical Theory of Water Waves
• Non-breaking and breaking solitary wave run-up
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• Runup and boundary layers on sloping beaches

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