ABSTRACT: The symmetry group of a given differential equation is the group of transformations that translate the solutions of the equation into solutions. If the infinitesimal generators of symmetry ...

Abstract: Contribution: This article identifies possible ruptures between the ways fundamental notions of exact differential and exact differential equations (EDEs) are employed in mathematics courses ...

IN the six lectures before us, Prof. Prasad gives an interesting account of the part played by partial differential equations in dealing with vibratory phenomena, conduction of heat, gravitational ...

ABSTRACT: Recently devised new symplectic and differential-algebraic approaches to studying hidden symmetry properties of nonlinear dynamical systems on functional manifolds and their relationships to ...

Abstract: Many phenomena in engineering and physics can be described by nonlinear partial differential equations. In this paper, a class of new KdV-Burgers-Kuramoto type equation is proposed. Lie ...