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SYMMETRIES AND LAX INTEGRABILITY OF THE GENERALIZED PROUDMAN-JOHNSON EQUATION

Научный вестник МГТУ ГА, 2017
We study local symmetries of the generalized Proudman-Johnson equation. Symmetries of a partial differential equation may be used to find its invariant solutions.
O. I. Morozov
doaj  

Interpretable neural networks: principles and applications. [PDF]

Front Artif Intell, 2023
Liu Z, Xu F.
europepmc   +1 more source

Exact solitary wave solutions and linear stability of the β-time-fractional Gardner equation in shallow water dynamics. [PDF]

Sci Prog
Elsaid Ramadan M, Ahmed HM, Radwan T, Alkhatib S, Soliman M.   +4 more
europepmc   +1 more source

Complex soliton wave patterns of Gross-Pitaevskii systems: application in quantum and optical engineering. [PDF]

Sci Rep
Bilal M, Alawaideh YM, Rehman SU, Popa IL, Al-Khamiseh BM, Ghannam H.   +5 more
europepmc   +1 more source

Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations. [PDF]

Entropy (Basel), 2022
Vitanov NK.
europepmc   +1 more source

Fast electromagnetic field simulation using a current-density- based physics-informed neural network. [PDF]

Sci Rep
Gao Z, Sun CA, Ma Z, Liu Z, Zhao L, Wang Q.   +5 more
europepmc   +1 more source

Novel solitons in the (2+1)-dimensional Heisenberg spin chain via generalized conformable derivatives. [PDF]

Sci Rep
Alam BE, Morales-Luna G, Fernandez-Anaya G.   +2 more
europepmc   +1 more source

Twist Fields in Many-Body Physics. [PDF]

Entropy (Basel)
Doyon B.
europepmc   +1 more source

A unified framework for deriving and visualizing soliton solutions in the paraxial nonlinear Schrödinger equation. [PDF]

Sci Rep
Khabyah AA, Ahmad A, Koam ANA, Almarashi A, Othman HA.   +4 more
europepmc   +1 more source

A new method for the calculation of functional and path integrals. [PDF]

Sci Rep, 2023
Hari AA, Givli S.
europepmc   +1 more source