On the conservation laws and traveling wave solutions to the BBM equation

DOI10.1080/09720502.2010.10700679zbMath1223.35106OpenAlexW2025033503MaRDI QIDQ3078176

Teoman Özer, Emrullah Yaşar

Publication date: 18 February 2011

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720502.2010.10700679

zbMATH Keywords

Benjamin-Bona-Mahonynonlinear dispersive systemsinverse variational method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetries and nonlocal conservation laws of the general magma equation
• Variational principles and conservation laws to the Burridge-Knopoff equation
• A new conservation theorem
• Invariant variational principles and conservation laws for some nonlinear partial differential equations with constant coefficients. I
• Relationship between symmetries and conservation laws
• Noether-type symmetries and conservation laws via partial Lagrangians
• Conservation laws for one-layer shallow water wave systems
• Conservation laws of the BBM equation
• Painlevé analysis and Lie group symmetries of the regularized long-wave equation
• Euler operators and conservation laws of the BBM equation
• Nonlinear evolution-type equations and their exact solutions using inverse variational methods
• Model equations for long waves in nonlinear dispersive systems

This page was built for publication: On the conservation laws and traveling wave solutions to the BBM equation