177 citations · 329 across the 11 of their papers we have counts for
10 papers
Solving Linear Differential Equations: A Novel Approach
N. Gurappa, Abhijit Sen, Rajneesh Atre +1
We explicate a procedure to solve general linear differential equations, which connects the desired solutions to monomials x^m of an appropriate degree m. In the process the underl…
Controlling Grey Solitons in a Trap
Ayan Khan, Rajneesh Atre, Prasanta K. Panigrahi
Experimentally observed grey solitons are analytically extracted from a physically viable \GP equation. Associated Lieb and Bogoliubov modes are calculated for these class of solit…
Complex solitons with power law behaviour in Bose-Einstein condensates near Feshbach resonance
Utpal Roy, Rajneesh Atre, C. Sudheesh +2
Complex, localized stable solitons, characterized by a power law behaviour, are found for a quasi-one-dimensional Bose-Einstein condensate near Feshbach resonance. Both dark and br…
Complex Envelope Soliton in Bose-Einstein Condensate with Time Dependent Scattering Length
Ayan Khan, Rajneesh Atre, Prasanta K. Panigrahi
We elaborate on a general method to find complex envelope solitons in a cigar shaped Bose-Einstein condensate in a trap. The procedure incorporates time dependent scattering length…
Controlling pulse propagation in optical fibers through nonlinearity and dispersion management
Rajneesh Atre, Prasanta K. Panigrahi
In case of the nonlinear Schrödinger equation with designed group velocity dispersion, variable nonlinearity and gain/loss; we analytically demonstrate the phenomenon of chirp reve…
A new class of exact solitary wave solutions of one dimensional Gross-Pitaevskii equation
Rajneesh Atre, Prasanta K. Panigrahi, G. S. Agarwal
We present a large family of {\it{exact}} solitary wave solutions of the one dimensional Gross-Pitaevskii equation, with time-varying scattering length and gain/loss, in both expul…