Conservation Laws for a Generalized Coupled Boussinesq System of KdV–KdV Type

DOI10.1007/978-3-319-12307-3_45zbMath1331.35284OpenAlexW2467047216MaRDI QIDQ3459741

Ben Muatjetjeja, Tshepo E. Mogorosi, Chaudry Masood Khalique

Publication date: 11 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12307-3_45

zbMATH Keywords

conservation lawsNoether theoremBoussinesq system of KdV-KdV type

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hyperbolic conservation laws (35L65) Euler equations (35Q31)

Cites Work

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• Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves
• Stabilization of a Boussinesq system of KdV-KdV type
• Conservation laws for third-order variant Boussinesq system
• Relationship between symmetries and conservation laws
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
• Noether-type symmetries and conservation laws via partial Lagrangians
• Long wave approximations for water waves
• Numerical solution of Boussinesq systems of KdV–KdV type: II. Evolution of radiating solitary waves
• A comparison of four approaches to the calculation of conservation laws

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