New soliton solutions of the 2D‐chiral nonlinear Schrodinger equation using two integration schemes
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7140
Abstract: In this paper, the new exact solutions for 2D‐chiral nonlinear Schrodinger equation (CNLSE) are acquired using two proficient integration tool, namely, the new extended direct algebraic method (EDAM) and extended hyperbolic function method (EHFM). We… read more here.
Keywords: soliton solutions; nonlinear schrodinger; solutions chiral; chiral nonlinear ... See more keywords
Evaluation of the bound state energies of some diatomic molecules from the approximate solutions of the Schrodinger equation with Eckart plus inversely quadratic Yukawa potential
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Molecular Modeling"
DOI: 10.1007/s00894-020-04593-0
Abstract: We have obtained analytically the bound state solutions for the non-relativistic Schrodinger equation for the Eckart plus inversely quadratic Yukawa potential (EIQYP) using the parametric Nikiforov-Uvarov (NU) method. In order to validate our approximation, the… read more here.
Keywords: state; bound state; eckart plus; plus inversely ... See more keywords
Soliton solutions in the modified nonlinear Schrödinger equation in inhomogeneous optical fibers and non-uniform proteins
Sign Up to like & getrecommendations! Published in 2019 at "Optik"
DOI: 10.1016/j.ijleo.2019.162971
Abstract: Abstract A variable-coefficient modified nonlinear Schrodinger equation is introduced to describe dynamics of optical wave in inhomogeneous optical fibers and travelling wave in the non-uniform alpha-helical proteins. A correlation between the variable-coefficient modified nonlinear Schrodinger… read more here.
Keywords: inhomogeneous optical; nonlinear schrodinger; schrodinger equation; optical fibers ... See more keywords
Nontrivial wave-packet collision and broadening in fractional Schrodinger equation Formalism
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Modern Optics"
DOI: 10.1080/09500340.2020.1812743
Abstract: In this work, we study the collision of two and three Gaussian wave-packets in the fractional quantum mechanics platform. For this purpose, we study the effects of different parameters such as fractionality, nonlinear interactions, delta… read more here.
Keywords: fractional schrodinger; wave packet; collision; schrodinger equation ... See more keywords
Solutions of Schrodinger equation and thermodynamic properties of Iodine and Scandium Fluoride molecules based on Formula method
Sign Up to like & getrecommendations! Published in 2021 at "Physica Scripta"
DOI: 10.1088/1402-4896/ac4717
Abstract: The study presents the thermodynamic properties of the Iodine and Scandium Fluoride molecules with molecular Deng-Fan potential. The bound state energy solution of the radial Schrodinger equation is obtained via the formula method. The partition… read more here.
Keywords: properties iodine; thermodynamic properties; fluoride molecules; scandium fluoride ... See more keywords
Solving of the Schrodinger equation analytically with an approximated scheme of the Woods–Saxon potential by the systematical method of Nikiforov–Uvarov
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Modern Physics E"
DOI: 10.1142/s0218301320500329
Abstract: The analytic solutions of the Schrodinger equation for the Woods–Saxon (WS) potential and also for the generalized WS potential are obtained for the [Formula: see text]-wave nonrelativistic spectrum, with an approximated form of the WS… read more here.
Keywords: woods saxon; saxon potential; approximated scheme; method ... See more keywords
On a separation and irreducibility problem of polynomials arising from the nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498817501134
Abstract: We discuss an algebraic problem (Separation and Irreducibility Conjecture) which arises from the study of the nonlinear Schrodinger equation (NLS for short). This problem is about separation and irreducibility (over the ring of integers) of… read more here.
Keywords: separation irreducibility; schrodinger equation; problem;
The exact solution of the non-linear Schrodinger equation by the exp-function method
Sign Up to like & getrecommendations! Published in 2021 at "Thermal Science"
DOI: 10.2298/tsci200301088c
Abstract: The nonlinear Schrodinger equation is widely studied in physics, mathematics and engineering [1-9], which is a nonlinear parabolic partial differential equation, and it is difficult to solve it explicitly, though there are many analytical methods… read more here.
Keywords: method; schrodinger equation; equation; exact solution ... See more keywords
Separability of the Planar 1/ρ2 Potential in Multiple Coordinate Systems
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12081312
Abstract: With a number of special Hamiltonians, solutions of the Schrodinger equation may be found by separation of variables in more than one coordinate system. The class of potentials involved includes a number of important examples,… read more here.
Keywords: separability planar; coordinate; potential multiple; schrodinger equation ... See more keywords