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Multiplicative of dual-waves generated upon increasing the phase velocity parameter embedded in dual-mode Schrödinger with nonlinearity Kerr laws

  • Marwan AlquranEmail author
  • Imad Jaradat
Original Paper
  • 43 Downloads

Abstract

In this paper, we introduced a new dual-mode nonlinear Schrödinger (DMNLS) equation with nonlinearity Kerr of types square-root law and dual-power law. The new model consists of three parameters defined as dissipative, nonlinearity and the phase velocity. Also, this model describes propagations of two simultaneously directional waves instead of single wave as in the standard Schrödinger model. We determined the necessary conditions on the dissipative nonlinearity parameters that produce soliton solutions of DMNLS. Finally, a graphical analysis regarding the effect of the phase velocity on the shapes of the obtained dual-waves is accomplished.

Keywords

Dual-mode Schrödinger Square-root Kerr Dual-power Kerr Solitary wave solutions 

Mathematics Subject Classification

35C08 74J35 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interests regarding the publication of the paper.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsJordan University of Science and TechnologyIrbidJordan

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