A non-variational approach to the construction of new `higher-order' conservation laws of the family of nonlinear equations \(\alpha (u_{t} + 3uu_{x}) + \beta (u_{txx} + 2u_{x}u_{xx} + uu_{xxx}) - \gamma u_{xxx} = 0\)

DOI10.1016/j.cnsns.2011.03.007zbMath1220.35150OpenAlexW1992482323MaRDI QIDQ635691

Ashfaque H. Bokhari, Abdul Hamid Kara

Publication date: 23 August 2011

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.2011.03.007

zbMATH Keywords

Camassa-HolmHunter-saxton and the inviscid Burgers equationsnon-variational method for conservation laws

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items

Hamiltonian, path integral and BRST formulations of the vector Schwinger model with a photon mass term with Faddeevian regularization, Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conservation laws for a complexly coupled KdV system, coupled Burgers system and Drinfeld-Sokolov-Wilson system via multiplier approach
• Relationship between symmetries and conservation laws
• Weak geodesic flow and global solutions of the Hunter-Saxton equation
• Symbolic computation of conservation laws of nonlinear partial differential equations in multi‐dimensions
• On the Inverse Scattering Approach to the Camassa-Holm Equation
• The associated Camassa-Holm equation and the KdV equation
• A Basis of Conservation Laws for Partial Differential Equations
• A discrete variational identity on semi-direct sums of Lie algebras