The direct method for the construction of local conservation laws of partial differential
equations (PDE) is a systematic method applicable to a wide class of PDE systems (S. Anco …

We present a recently developed Maple-based “GeM” software package for automated
symmetry and conservation law analysis of systems of partial and ordinary differential …

The nonlocal symmetries for the (2+ 1)(2+ 1)-dimensional Konopelchenko–Dubrovsky
equation are obtained with the truncated Painlevé method and the Möbious (conformal) …

We use the method of Lie symmetry analysis to investigate the properties of a (2+ 1)-
dimensional KdV–mKdV equation. Using the Ibragimov method, which relies only on the …

In this research, discrete singular convolution, that depends on Regularized Shannon
kernel, is used to look for the efficient solution of (4+ 1) dimensional nonlinear Fokas …

We compute nonlocal symmetries and obtain kink type soliton solutions to an integrable
soliton equation. We construct a tree of nonlocally related partial differential equations …

Conservation laws of the Hunter–Saxton equation for liquid crystal are constructed by using
multipliers. Based on the obtained conservation laws, we construct a tree of partial …

In this paper, the Lie symmetry analysis method is employed to investigate the Lie point
symmetries and the one-parameter transformation groups of a (2+ 1)-dimensional Boiti-Leon …

Symmetry-and conservation law-preserving finite difference discretizations are obtained for
linear and nonlinear one-dimensional wave equations on five-and nine-point stencils using …

In this work, the tanh method is employed to compute some traveling wave patterns of the
nonlinear third-order (2+ 1) dimensional Chaffee-Infante (CI) equation. The tanh technique …