Symmetry Analysis and Conservation Laws for the Hunter—Saxton Equation

DOI10.1088/0253-6102/59/3/16zbMath1264.35100OpenAlexW2072751705MaRDI QIDQ4924809

Mehdi Nadjafikhah, Fatemeh Ahangari

Publication date: 10 June 2013

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/59/3/16

zbMATH Keywords

conservation lawsinvariant solutionLie symmetry methodBoyer's generalization of Noether's theoremHomotopy operator methodsHunter-Saxton equation (HSE)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Symmetries, invariants, etc. in context of PDEs (35B06) Systems of nonlinear higher-order PDEs (35G50)

Related Items (8)

Solutions of second-order PDEs with first-order quotients ⋮ Reductions and conservation laws for BBM and modified BBM equations ⋮ On the conservation laws and exact solutions of a modified Hunter-Saxton equation ⋮ Comprehensive analysis of the symmetries and conservation laws of the geodesic equations for a particular string inspired FRLW solution ⋮ Lie symmetry analysis and conservation law for the equation arising from higher order Broer-Kaup equation ⋮ Global asymptotic stabilization of the Hunter-Saxton control system ⋮ An Efficient Numerical Solution of Nonlinear Hunter–Saxton Equation ⋮ A reliable solution of arbitrary order nonlinear Hunter-Saxton equation with time dependent derivative in Liouville-Caputo sense

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