BHARDWAJ S B
Articles written in Pramana – Journal of Physics
Volume 86 Issue 6 June 2016 pp 1253-1258 Regular
Periodic and solitary wave solutions of cubic–quintic nonlinear reaction-diffusion equation with variable convection coefficients
BHARDWAJ S B SINGH RAM MEHAR SHARMA KUSHAL MISHRA S C
Attempts have been made to explore the exact periodic and solitary wave solutions of nonlinear reaction diffusion (RD) equation involving cubic–quintic nonlinearity along with timedependent convection coefficients. Effect of varying model coefficients on the physical parameters of solitary wave solutions is demonstrated. Depending upon the parametric condition, the periodic,double-kink, bell and antikink-type solutions for cubic–quintic nonlinear reaction-diffusion equation are extracted. Such solutions can be used to explain various biological and physical phenomena.
Volume 87 Issue 1 July 2016 Article ID 0010 Regular
Quantum mechanics of $PT$ and non-$PT$ -symmetric potentials in three dimensions
BHARDWAJ S B SINGH RAM MEHAR MISHRA S C
With a view of exploring new vistas with regard to the nature of complex eigenspectra of a non-Hermitian Hamiltonian, the quasi-exact solutions of the Schrödinger equation are investigated for a shifted harmonic potential under the framework of extended complex phase-space approach. Analyticity property ofthe eigenfunction alone is found sufficient to throw light on the nature of the eigenvalues and eigenfunctions of a system. Explicit expressions of eigenvalues and eigenfunctions for the ground state as well as excited state including their $PT$-symmetric version are worked out.
Volume 97, 2023
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