Browsing by Subject "Lax pairs"

Now showing items 1-3 of 3

Complex coupled dispersionless equations in Minkowski 3-space

Eren, Kemal; Ersoy, Soley (2022)

In this study, we investigate the geometric and algebraic aspects of defocusing Complex Coupled Dispersionless (CCD) equations in Minkowski space. We give the conditions for obtaining CCD equations from moving spacelike ...
Framed Curve Families Induced by Real and Complex Coupled Dispersionless-Type Equations

Popovic, Nikola; Eren, Kemal; Savic, Ana; Ersoy, Soley (MDPI, 2023)

In this study, we investigate coupled real and complex dispersionless equations for curve families, even if they have singular points. Even though the connections with the differential equations and regular curves were ...
Involute evolute curve family induced by the coupled dispersionless equations

Eren, Kemal; Yesmakhanova, Kuralay; Ersoy, Soley; Myrzakulov, Ratbay (2022)

In this paper, we derive the coupled dispersionless (CD) equation from the motion of the involute evolute curve pairs, which provides a favourable interpretation for the integrability conditions. This nonlinear differential ...