60 citations · 194 across the 13 of their papers we have counts for
7 papers · 1 filter
Stability in integrable nonlocal nonlinear equations
Julia Cen, Francisco Correa, Andreas Fring +1
Recently a variety of nonlocal integrable systems has been introduced that besides fields located at particlar space-time points simultaneously also contain fields that are located…
Multicomplex solitons
Julia Cen, Andreas Fring
We discuss integrable extensions of real nonlinear wave equations with multi-soliton solutions, to their bicomplex, quaternionic, coquaternionic and octonionic versions. In particu…
Asymptotic and scattering behaviour for degenerate multi-solitons in the Hirota equation
Julia Cen, Andreas Fring
We construct all higher order conserved charges from a general two-dimensional zero curvature condition using a Gardner transformation. Employing two of those charges in the defini…
Integrable nonlocal Hirota equations
Julia Cen, Francisco Correa, Andreas Fring
We construct several new integrable systems corresponding to nonlocal versions of the Hirota equation, which is a particular example of higher order nonlinear Schrödinger equations…
Degenerate multi-solitons in the sine-Gordon equation
Julia Cen, Francisco Correa, Andreas Fring
We construct various types of degenerate multi-soliton and multi-breather solutions for the sine-Gordon equation based on Bäcklund transformations, Darboux-Crum transformations and…
Time-delay and reality conditions for complex solitons
Julia Cen, Francisco Correa, Andreas Fring
We compute lateral displacements and time-delays for a scattering processes of complex multi-soliton solutions of the Korteweg de-Vries equation.The resulting expressions are emplo…
Complex solitons with real energies
Julia Cen, Andreas Fring
Using Hirota's direct method and Baecklund transformations we construct explicit complex one and two-solutions to the complex Korteweg-de Vries equation, the complex modified Korte…