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 …

A simple characterization of the action of symmetries on conservation laws of partial
differential equations is studied by using the general method of conservation law multipliers …

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 …

Ocean plays key roles in the earth's system in shaping the planet's climate as well as
weather by absorbing, storing, and also transporting huge quantities of carbon-dioxide …

In this study, the Painlevé property of Date–Jimbo–Kashiwara–Miwa equation is verified with
WTC approach and the exact soliton solution is obtained using Pickering's algorithm. We …

The work presents systematic investigations on invariant analysis and the analytic solution
of the second order Higgs equation. On employing Lie classical approach, new symmetry …

In this paper, a Lie symmetry method is used for the nonlinear generalized Camassa–Holm
equation and as a result reduction of the order and computing the conservation laws are …

Many composite materials, including biological tissues, are modeled as non-linear elastic
materials reinforced with elastic fibers. In the current paper, the full set of dynamic equations …

A computational classification of contact symmetries and higher-order local symmetries that
do not commute with $ t, x $, as well as local conserved densities that are not invariant under …

In this paper, some properties of the time fractional Boussinesq equation are presented.
Group analysis of the time fractional Boussinesq equation with Riemann–Liouville derivative …