Symmetry analysis and conservation laws for the Hunter—Saxton equation

M Nadjafikhah, F Ahangari - Communications in Theoretical …, 2013 - iopscience.iop.org
In this paper, the problem of determining the most general Lie point symmetries group and
conservation laws of a well known nonlinear hyperbolic PDE in mathematical physics called …

Analysis of generalized quasilinear hyperbolic and Boussinesq equations from the point of view of potential symmetry

M Jafari, S Mahdion - Journal of Finsler Geometry and its Applications, 2024 - jfga.uma.ac.ir
Using the Lie classical method, the potential symmetry of the generalized hyperbolic
quasilinear and Boussinesq equations is investigated. To find these symmetries in specific …

The geometry of fourth-order differential operator

R Bakhshandeh-Chamazkoti - International Journal of Geometric …, 2015 - World Scientific
In the present paper, the equivalence problem for fourth-order differential operators with one
variable under general fiber-preserving transformation using the Cartan method of …

Self‐Consistent Sources and Conservation Laws for Nonlinear Integrable Couplings of the Li Soliton Hierarchy

H Wei, T Xia - Abstract and Applied Analysis, 2013 - Wiley Online Library
New explicit Lie algebras are introduced for which the nonlinear integrable couplings of the
Li soliton hierarchy are obtained. Then, the nonlinear integrable couplings of Li soliton …