7 papers
A revisit of symmetry analysis and group classifications of Boiti Leon Pempinelli system in (2+1)-dimensions
Manjit Singh
In this paper, the Boiti Leon Pempinelli system in (2+1)-dimensions is revisited for Lie symmetries and invariant solutions. An infinite-dimensional Lie algebra is obtained using t…
Group invariant solutions and Conservation laws of the nonlinear Gardner-Kawahara equation
Sradharam Swain, Bikash Sahoo, Manjit Singh
The present article studies the potential form of the nonlinear Gardner-Kawahara equation through the perspective of Lie symmetry analysis. Lie symmetry analysis was used to invest…
Infinite dimensional symmetry group, Kac-Moody-Virasoro algebras and integrability of Kac-Wakimoto equation
Manjit Singh
An eighth-order equation in (3+1)-dimension is studied for its integrability. Its symmetry group is shown to be infinite-dimensional and is checked for Virasoro like structure. The…
Explicit factorization of over a finite field
Manjit Singh
Let be a finite field of odd characteristic containing elements and integer . In this paper, the explicit factorization of over $\mathbb{F}_…
Some subgroups of a finite field and their applications for obtaining explicit factors
Manjit Singh
Let denote the group of all square elements in the multiplicative group of a finite field of odd characteristic containing eleme…
Weight distributions of all irreducible -constacyclic codes of length
Manjit Singh
Let be a finite field of order and integer . Let be a prime such that for some integer and be an element of order $\el…