Structure Preserving Schemes for Coupled Nonlinear Schrödinger Equation

Akkoyunlu C., Şaylan P.

12th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2023, Belgrade, Serbia, 28 - 31 August 2023, vol.2701, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2701
  • Doi Number: 10.1088/1742-6596/2701/1/012090
  • City: Belgrade
  • Country: Serbia
  • Istanbul Kültür University Affiliated: Yes

Abstract

The numerical solution of CNLS equations are studied for periodic wave solutions. We use the first order partitioned average vector field method, the second order partitioned average vector field composition method and plus method. The nonlinear implicit schemes preserve the energy and the momentum. The results show that the methods are successful to get approximation.