Optimal system, nonlinear self-adjointness and conservation laws for generalized shallow water wave equation

D Baleanu, M İnç, A Yusuf, AI Aliyu - Open Physics, 2018 - degruyter.com
In this article, the generalized shallow water wave (GSWW) equation is studied from the
perspective of one dimensional optimal systems and their conservation laws (Cls). Some …

Exact solutions via equivalence transformations of variable-coefficient fifth-order KdV equations

MS Bruzón, R de la Rosa, R Tracinà - Applied Mathematics and …, 2018 - Elsevier
In this paper, a family of variable-coefficient fifth-order KdV equations has been considered.
By using an infinitesimal method based on the determination of the equivalence group …

First-Order Sign-Invariants and Exact Solutions of the Radially Symmetric Nonlinear Diffusion Equations with Gradient-Dependent Diffusivities

L Ji, X Luo, J Zeng, M Xiao, Y Meng - Symmetry, 2022 - mdpi.com
The sign-invariant theory is used to study the radially symmetric nonlinear diffusion
equations with gradient-dependent diffusivities. The first-order non-stationary sign-invariants …

Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source

L Ji, R Wang - Entropy, 2020 - mdpi.com
A conditional Lie-Bäcklund symmetry method and differential constraint method are
developed to study the radially symmetric nonlinear convection-diffusion equations with …

[PDF][PDF] Equivalence groups of (2+ 1) dimensional diffusion equation

S Özer - Sakarya University Journal of Science, 2017 - dergipark.org.tr
If a given set of differential equations contain some arbitrary functions, parameters, we have
in fact a family of sets of equations of the same structure. Almost all field equations of …

(2+ 1) Boyutlu difüzyon denkleminin eşdeğerlik grupları.

S Özer - Sakarya University Journal of Science (SAUJS) …, 2017 - search.ebscohost.com
If a given set of differential equations contain some arbitrary functions, parameters, we have
in fact a family of sets of equations of the same structure. Almost all field equations of …