ORCID Profile
0000-0001-8914-215X
Current Organisations
Nanyang Technological University
,
Texas A&M University at Qatar
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Publisher: AIP Publishing
Date: 25-09-2015
DOI: 10.1063/1.4931710
Abstract: We present an infinite nonlinear Schrödinger equation hierarchy of integrable equations, together with the recurrence relations defining it. To demonstrate integrability, we present the Lax pairs for the whole hierarchy, specify its Darboux transformations and provide several ex les of solutions. These resulting wavefunctions are given in exact analytical form. We then show that the Lax pair and Darboux transformation formalisms still apply in this scheme when the coefficients in the hierarchy depend on the propagation variable (e.g., time). This extension thus allows for the construction of complicated solutions within a greatly ersified domain of generalised nonlinear systems.
Publisher: AIP Publishing
Date: 12-2018
DOI: 10.1063/1.5053941
Abstract: We investigate the dynamics of modulation instability (MI) and the corresponding breather solutions to the extended nonlinear Schrödinger equation that describes the full scale growth-decay cycle of MI. As an ex le, we study modulation instability in connection with the fourth-order equation in detail. The higher-order equations have free parameters that can be used to control the growth-decay cycle of the MI that is, the growth rate curves, the time of evolution, the maximal litude, and the spectral content of the Akhmediev Breather strongly depend on these coefficients.
Publisher: Springer Science and Business Media LLC
Date: 05-2016
Publisher: American Physical Society (APS)
Date: 18-10-2017
Publisher: American Physical Society (APS)
Date: 11-01-2016
Publisher: Springer Science and Business Media LLC
Date: 17-12-2019
Publisher: The Royal Society
Date: 08-2015
Abstract: We find that the Hirota equation admits breather-to-soliton conversion at special values of the solution eigenvalues. This occurs for the first-order, as well as higher orders, of breather solutions. An analytic expression for the condition of the transformation is given and several ex les of transformations are presented. The values of these special eigenvalues depend on two free parameters that are present in the Hirota equation. We also find that higher order breathers generally have complicated quasi-periodic oscillations along the direction of propagation. Various breather solutions are considered, including the particular case of second-order breathers of the nonlinear Schrödinger equation.
Publisher: American Physical Society (APS)
Date: 24-02-2015
Publisher: The Optical Society
Date: 06-12-2012
Publisher: American Physical Society (APS)
Date: 07-07-2014
Publisher: American Physical Society (APS)
Date: 23-01-2023
Publisher: Bangladesh Journals Online (JOL)
Date: 17-12-2010
Abstract: Opto-electronic properties of three new carbazole based co-polymers were investigated. The decay kinetics of triplet emission of the co-polymers was observed. Several findings such as optical band-gap, singlet to singlet transition energies, triplet to singlet transition energies, exchange energies (?EST) have been presented. In comparison to the other material carbazole-oxadiazole based polymer with OMe, P1, H21C10, P2 and H12C10O, P3 exchange energy is below 0.5 eV and triplet energy is significantly higher. The energy gaps between singlet and triplet excited states are 0.44-0.47 eV. From decay kinetics the triplet excited state life-times were found to be several orders of ms at 10-13 K that reduces to less than 3 ms at room temperature.Keywords: Time resolved emission spectroscopy Carbazole Conjugated polymers.© 2011 JSR Publications. ISSN: 2070-0237 (Print) 2070-0245 (Online). All rights reserved.doi:10.3329/jsr.v3i1.4666 J. Sci. Res. 3 (1), 13-24 (2011)
Publisher: American Physical Society (APS)
Date: 26-09-2014
Publisher: American Physical Society (APS)
Date: 08-09-2021
Publisher: American Physical Society (APS)
Date: 10-05-2023
Publisher: American Physical Society (APS)
Date: 30-03-2015
Publisher: Walter de Gruyter GmbH
Date: 23-06-2016
Abstract: The way in which solitons propagate and collide is an important theme in various areas of physics. We present a systematic study of the superposition of solitons in systems governed by higher-order equations related to the nonlinear Schrödinger family. We allow for arbitrary litudes and relative velocities and include an infinite number of equations in our analysis of collisions and superposed solitons. The formulae we obtain can be useful in determining the influence of subtle effects like higher-order dispersion in optical fibres and small delays in the material responses to imposed impulses.
Publisher: American Physical Society (APS)
Date: 30-06-2017
Publisher: Springer Science and Business Media LLC
Date: 07-01-2011
No related grants have been discovered for Md Amdadul Huq Chowdury.