3 papers
nlin.SI2022
Riemann-Hilbert problems for a nonlocal reverse-spacetime Sasa-Satsuma hierarchy of a fifth-order equation and its soliton solutions
Ahmed M. G. Ahmed, Alle Adjiri, Solomon Manukure
We aim to present and analyze a nonlinear nonlocal reverse-spacetime fifth-order scalar Sasa-Satsuma equation, based on a nonlocal matrix AKNS spectral problem. Starti…
nlin.SI2022
Riemann-Hilbert problems of a non-local reverse-time AKNS system of six-order and dynamical behaviours of -soliton
Ahmed M. G. Ahmed, Alle Adjiri
In this paper, we are going to solve nonlinear nonlocal reverse-time six-component six-order AKNS system. We used reverse-time reduction to reduce the coupled system to an integrab…
math-ph2020
Integrable spinor/quaternion generalizations of the nonlinear Schrodinger equation
Stephen C. Anco, Ahmed M. G. Ahmed, Esmaeel Asadi
An integrable generalization of the NLS equation is presented, in which the dynamical complex variable is replaced by a pair of dynamical complex variables $(u_1(t,x),u_2(…