Results 51 to 60 of about 3,097 (206)

Classification of the Group Invariant Solutions for Contaminant Transport in Saturated Soils under Radial Uniform Water Flows

Advances in Mathematical Physics, 2014
The transport of chemicals through soils to the groundwater or precipitation at the soils surfaces leads to degradation of these resources. Serious consequences may be suffered in the long run.
M. M. Potsane, R. J. Moitsheki
doaj   +1 more source

Group Analysis of Equal-Width Equation

European Journal of Mathematical Analysis, 2023
We study a third-order nonlinear equal width equation, which has been used for simulation of a one-dimensional wave propagation in a non-linear medium with dispersion process, by symmetry analysis.
Joseph Owuor Owino
doaj   +1 more source

Lie point symmetry reductions of Bondi's radiating metric

Journal of Physics: Conference Series, 2007
The Lie point symmetries of the Einstein vacuum equations corresponding to the Bondi form of the line element are presented. Using these symmetries, we study reductions of the field equations, which might lead to new asymptotically flat solutions, representing gravitational waves emitted by an isolated source.
S Dimas, D Tsoubelis, P Xenitidis
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A New Method for Finding Lie Point Symmetries of First-Order Ordinary Differential Equations [PDF]

, 2023
Winter Sinkala
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Elementary functions solutions to the Bachelier model generated by Lie point symmetries [PDF]

, 2022
Evangelos Melas
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Some new invariant solutions of nonlinear fifth order partial differential equation via Lie approach

Partial Differential Equations in Applied Mathematics
In this paper, the classical Lie symmetry analysis of (1+3) dimensional perturbed Zakharov–Kuznetsov (pZK) equation has been studied. We present a thorough classification of Lie point symmetries for pZK equation.
Muhammad Irshad, Muhammad Hussan, Aqsa Haider, H.M. Younas, Zulfiqar Ali, Iram Jahangir   +5 more
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Symmetries, Conservation Laws, and Wave Equation on the Milne Metric

Journal of Applied Mathematics, 2012
Noether symmetries provide conservation laws that are admitted by Lagrangians representing physical systems. For partial differential equation possessing Lagrangians these symmetries are obtained by the invariance of the corresponding action integral. In
Ahmad M. Ahmad, Ashfaque H. Bokhari, F. D. Zaman   +2 more
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Inner symmetries of the spatially singular part of the solutions of the Burgers equation and their Lie representations

Results in Physics, 2020
We describe two new discrete symmetries of the inviscid Burgers (or Riemann–Hopf) equation ut+uux=0. We derived both of them using a local, formal approach of Hopf algebraic renormalization, a tool recently used in algorithmic computations. We prove that
G. Barad, E. Czeizler, A. Paun
doaj   +1 more source

Lie remarkable partial differential equations characterized by Lie algebras of point symmetries [PDF]

Journal of Geometry and Physics, 2019
22 ...
Gorgone, Matteo, Oliveri, Francesco
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Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system [PDF]

, 2021
Diana S. Maltseva, Roman O. Popovych
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