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Darboux Transformation and A-operator

Darboux Transformation and A-operator
Firstly, the fundamental equality of Darboux transformation of the differential operator H(u)=-∂^2+u is proved based on the Kupershmidt-Wilson factorization of the associated ∧-operator ∧(u)=∂^・(2^u'+u∂-4^∂^3). Secondly, elementary algebraic properties of the Darboux transformation are studied with the aid of ∧-operator.
openaire  

Interactions among lump optical solitons for coupled nonlinear Schrödinger equation with variable coefficient via bilinear method. [PDF]

Sci Rep
Wen S, Manafian J, Sedighi S, Atmaca SP, Gallegos C, Mahmoud KH, Alsubaie ASA.   +6 more
europepmc   +1 more source

Analyzing the neural wave structures in the field of neuroscience. [PDF]

Sci Rep
Younas U, Muhammad J, Almutairi DK, Khan A, Abdeljawad T.   +4 more
europepmc   +1 more source

Transformations and singularities of polarized curves. [PDF]

Ann Glob Anal Geom (Dordr), 2019
Fuchs A.
europepmc   +1 more source

Lie symmetry analysis and solitary wave solution of biofilm model Allen-Cahn. [PDF]

Sci Rep
Shakeel M, Abbas N, Rehman MJU, Alshammari FS, Al-Yaari A.   +4 more
europepmc   +1 more source

Dynamic of bifurcation, chaotic structure and multi soliton of fractional nonlinear Schrödinger equation arise in plasma physics. [PDF]

Sci Rep
Alazman I, Alkahtani BST, Mishra MN.
europepmc   +1 more source

A Cortical-Inspired Contour Completion Model Based on Contour Orientation and Thickness. [PDF]

J Imaging
Galyaev I, Mashtakov A.
europepmc   +1 more source

Dynamical behavior of solitons of the (2+1)-dimensional Konopelchenko Dubrovsky system. [PDF]

Sci Rep
Hussain A, Parveen T, Younis BA, Ahamd HUM, Ibrahim TF, Sallah M.   +5 more
europepmc   +1 more source

Double BFV Quantisation of 3D Gravity. [PDF]

Commun Math Phys
Canepa G, Schiavina M.
europepmc   +1 more source

Effect of the nonlinear dispersive coefficient on time-dependent variable coefficient soliton solutions of the Kolmogorov-Petrovsky-Piskunov model arising in biological and chemical science. [PDF]

Heliyon
Roshid MM, Roshid MM, Rahman MM, Or-Roshid H.   +3 more
europepmc   +1 more source