Anjan Biswas
Normal, AL 357624900, USA
Department of Physics, Chemistry and Mathematics, Alabama A&M University
Publications:
GonzálezGaxiola O., Biswas A., Asma M., Alzahrani A. K.
Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme
2020, vol. 25, no. 4, pp. 338348
Abstract
This paper numerically addresses optical dromions and domain walls that are
monitored by Kundu – Mukherjee – Naskar equation. The Kundu – Mukherjee – Naskar equation
is considered because this model describes the propagation of soliton dynamics in optical fiber
communication system. The scheme employed in this work is Laplace – Adomian decomposition
type. The accuracy of the scheme is $O(10^{8})$ and the physical structure of the obtained solutions
are shown by graphic illustration in order to give a better understanding on the dynamics of
both optical dromions and domain walls.

Biswas A., Kara A. H., Zhou Q., Alzahrani A. K., Belic M. R.
Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers
2020, vol. 25, no. 2, pp. 166177
Abstract
This paper reports conservation laws for highly dispersive optical solitons in
birefringent fibers. Three forms of nonlinearities are studied which are Kerr, polynomial and
nonlocal laws. Power, linear momentum and Hamiltonian are conserved for these types of
nonlinear refractive index.

Kudryashov N. A., Safonova D. V., Biswas A.
Painlevé Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan – Kundu – Lakshmanan Equation
2019, vol. 24, no. 6, pp. 607614
Abstract
This paper considers the Radhakrishnan – Kundu – Laksmanan (RKL) equation to
analyze dispersive nonlinear waves in polarizationpreserving fibers. The Cauchy problem for
this equation cannot be solved by the inverse scattering transform (IST) and we look for exact
solutions of this equation using the traveling wave reduction. The Painlevé analysis for the
traveling wave reduction of the RKL equation is discussed. A first integral of traveling wave
reduction for the RKL equation is recovered. Using this first integral, we secure a general
solution along with additional conditions on the parameters of the mathematical model. The
final solution is expressed in terms of the Weierstrass elliptic function. Periodic and solitary
wave solutions of the RKL equation in the form of the traveling wave reduction are presented
and illustrated.
