Applications of the ETEM for obtaining optical soliton solutions for the Lakshmanan-Porsezian-Daniel model

  • Jalil Manafian
  • Mohammadreza Foroutan
  • Aref Guzali
Regular Article

Abstract.

This paper examines the effectiveness of an integration scheme which is called the extended trial equation method (ETEM) for solving a well-known nonlinear equation of partial differential equations (PDEs). In this respect, the Lakshmanan-Porsezian-Daniel (LPD) equation with Kerr and power laws of nonlinearity which describes higher-order dispersion, full nonlinearity and spatiotemporal dispersion is considered, and as an achievement, a series of exact travelling-wave solutions for the aforementioned equation is formally extracted. Explicit new exact solutions are derived in different form such as dark solitons, bright solitons, solitary wave, periodic solitary wave, rational function, and elliptic function solutions of LPD equation. The movement of obtained solutions is shown graphically, which helps to understand the physical phenomena of this optical soliton equation. Many other such types of nonlinear equations arising in basic fabric of communications network technology and nonlinear optics can also be solved by this method.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Young Researchers and Elite Club, Ilkhchi BranchIslamic Azad UniversityIlkhchiIran
  2. 2.Department of MathematicsPayame Noor UniversityTehranIran
  3. 3.Department of Mathematics, Ahar BranchIslamic Azad UniversityAharIran

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