A variational principle for a thin film equation

JH He, C Sun - Journal of Mathematical Chemistry, 2019 - Springer
Thin film arises in various applications from electrochemistry to nano devices, many
mathematical tools were adopted to study the problem, eg Lie symmetries and conservation …

Invariant subspaces and exact solutions: and -dimensional generalized time-fractional thin-film equations

P Prakash, R Thomas, T Bakkyaraj - Computational and Applied …, 2023 - Springer
We investigate the applicability and efficiency of the invariant subspace method to (2+ 1)-
dimensional time-fractional nonlinear PDEs. We show how to find various types of invariant …

On the exact solutions and conservation laws of a generalized (1+ 2)-dimensional Jaulent-Miodek equation with a power law nonlinearity

S Mbusi, B Muatjetjeja, AR Adem - International Journal of …, 2022 - ijnaa.semnan.ac.ir
In this paper, a generalized (1+ 2)-dimensional Jaulent-Miodek equation with a power law
nonlinearity is examined, which arises in numerous problems in nonlinear science. The …

Potential systems of a Buckley–Leverett equation: Lie point symmetries and conservation laws

MS Bruzón, AP Marquez, E Recio, TM Garrido… - Journal of Mathematical …, 2020 - Springer
In this work, we study a Buckley–Leverett equation of two-phase flow in porous media from
the point of view of the Lie theory. We find that for some functions the equation has abundant …

Symmetry nonintegrability for extended K(mnp) equation

J Vašíček - Journal of Mathematical Chemistry, 2022 - Springer
Symmetry nonintegrability for extended K(m, n, p) equation | Journal of Mathematical Chemistry
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