Dispersive dromions, conserved densities and fluxes with integrability via P-test for couple of nonlinear dynamical system

The famous Hamiltonian amplitude equation (HAE) and the well known cubic nonlinear Schrödinger equation (CNLSE) with repulsive delta potential have been taken into account for integrability analysis, establishment of conservation laws (CLs) and traveling wave (soliton) solutions in the polynomial fo...

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Bibliographic Details
Published in:Results in physics 2022-02, Vol.33, p.105151, Article 105151
Main Authors: Bashir, Azhar, Seadawy, Aly R., Rizvi, Syed T.R., Ali, Ijaz, Althubiti, Saeed
Format: Article
Language:English
Subjects:
Conservation laws
Dynamical models
Optical dromions (solitons)
Painlevé test
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Summary:The famous Hamiltonian amplitude equation (HAE) and the well known cubic nonlinear Schrödinger equation (CNLSE) with repulsive delta potential have been taken into account for integrability analysis, establishment of conservation laws (CLs) and traveling wave (soliton) solutions in the polynomial forms. The integrability investigation has been done with the help of Painlevé test (P-test), conserved densities and associated fluxes required for the establishment of CLs are found with the help of scaling invariance approach whereas the traveling wave solutions in the form of polynomials are derived by unified method (UM). •The dynamical models are consider.•Conservation laws and Painlevé test are obtained.•Analytical optical soliton solutions.•Integrability and modified extended direct algebraic.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2021.105151