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On a sequence of higher-order nonlinear diffusion-convection equations
(2019)
Motivated by the existence of the thin film equations, fourth and sixth order, which are generalizations of the diffusion equation, we consider a sequence of higher order nonlinear diffusion-convection equations. We ...
Lie symmetry analysis of a variable coefficient Calogero–Degasperis equation
(2018)
We consider a general class of variable coefficient Calogero–Degasperis equations. The complete Lie group classification is performed with the aid of the appropriate equivalence group. Lie symmetries are used to derive a ...
Lie symmetries of a system arising in plasma physics
(2018)
Lie group classification for a diffusion-type system that has applications in plasma physics is derived. The classification depends on the values of 5 parameters that appear in the system. Similarity reductions are presented. ...
Lie symmetry analysis of Burgers-type systems
(2018)
Lie group classification for 2 Burgers-type systems is obtained. Systems contain 2 arbitrary elements that depend on the 2 dependent variables. Equivalence transformations for the systems are derived. Examples of nonclassical ...
Numerical similarity solution for a variable coefficient K(m, n) equation
(2018)
A technique for finding numerical similarity solutions to an initial boundary value problem (IBVP) for generalized K(m, n) equations is described. The equation under consideration is nonlinear and has variable coefficients. ...
Enhanced Symmetry Analysis of Two-Dimensional Burgers System
(2019)
We carry out enhanced symmetry analysis of a two-dimensional Burgers system. The complete point symmetry group of this system is found using an enhanced version of the algebraic method. Lie reductions of the Burgers system ...
Classification of reduction operators and exact solutions of variable coefficient Newell–Whitehead–Segel equations
(2019)
A class of the Newell–Whitehead–Segel equations (also known as generalized Fisher equations and Newell–Whitehead equations) is studied with Lie and “nonclassical” symmetry points of view. The classifications of Lie reduction ...
Lie Symmetry Analysis of a Third-Order Equation Arising from a General Class of Lotka–Volterra Chains
(Springer, 2018)
In the literature has recently appeared a class of bi-cubic equations from the study of a general class of Lotka–Volterra chains. Lie symmetry analysis is performed for this non-linear partial differential equation and a ...
Group classification of variable coefficient K(m,n) equations
(2014)
Lie symmetries of K (m n ) equations with time-dependent coefficients ate classified Group classification is presented up to widest possible equivalence groups the usuil equivalence group of the whole class for the general ...