Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Talukdar, Benoy"'
In addition to standard and non-standard Lagrangians of classical mechanics, we consider, in this work, null Lagrangians that (i) identically satisfy the Euler-Lagrange equation and at the same time can be expressed as (ii) the total derivative of so
Externí odkaz:
http://arxiv.org/abs/2406.17560
The nonstandard Lagrangian representations of Ricatti and Riccati-type equations that exist in the literature cannot be obtained using Helmholtz solution of the inverse problem. In this work we consider Riccati and higher-order Riccati equations and
Externí odkaz:
http://arxiv.org/abs/2406.17529
Autor:
Sekh, Golam Ali, Talukdar, Benoy
We consider an attractive quasi-one dimensional spin-orbit coupled Bose-Einstein condensate (SOC BEC) confined in a periodic potential produced by the combination of linear and nonlinear optical lattices, and study the effects of squeezing a stripe s
Externí odkaz:
http://arxiv.org/abs/2302.11626
Autor:
Sekh, Golam Ali, Talukdar, Benoy
Satyendra Nath Bose is one of the great Indian scientists. His remarkable work on the black body radiation or derivation of Planck's law led to quantum statistics, in particular, the statistics of photon. Albert Einstein applied Bose's idea to a gas
Externí odkaz:
http://arxiv.org/abs/2210.13967
The Sturm-Liouville equation represents the linearized form of the first-order Riccati equation. This provides an evidence for the connection between Schwarzian derivative and this first-order nonlinear differential equation. Similar connection is no
Externí odkaz:
http://arxiv.org/abs/2208.08409
We make use of Shannon entropy ($S$) and Fisher information ($I$) to study the response of atomic density profiles of a spin-orbit coupled Bose-Einstein condensate to changes in the wave number ($\kappa_L$) of the Raman laser that couples two hyperfi
Externí odkaz:
http://arxiv.org/abs/2112.13417
This \textquoteleft research-survey' is meant for beginners in the studies of integrable systems. Here we outline some analytical methods for dealing with a class of nonlinear partial differential equations. We pay special attention to \textquoteleft
Externí odkaz:
http://arxiv.org/abs/2012.03456
Autor:
Sekh, Golam Ali, Talukdar, Benoy
Publikováno v:
Physics Letters A 415,127665(2021)
The stationary bright solitons that appear in the ground state of the spin-orbit coupled Bose-Einstein condensate (SOC-BEC) exhibit nodes. We consider SOC-BEC in combined linear and nonlinear optical lattices and study their effects on the matter-wav
Externí odkaz:
http://arxiv.org/abs/2010.11888
In this paper we have chosen to work with two different approaches to solving the inverse problem of the calculus of variation. The first approach is based on an integral representation of the Lagrangian function that uses the first integral of the e
Externí odkaz:
http://arxiv.org/abs/2008.03116
We show that the theory of self-adjoint differential equations can be used to provide a satisfactory solution of the inverse variational problem in classical mechanics. A Newtonian equation when transformed to the self-adjoint form allows one to find
Externí odkaz:
http://arxiv.org/abs/2006.08597