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Dispersive optical solitons with Schrödinger–Hirota equation by a couple of integration schemes



  1. Al-Rafidain University College, Baghdad-10014, Iraq
  2. Department of Mathematics and Physics, Grambling State University, Grambling, LA–71245, USA
  3. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia
  4. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow–115409, Russian Federation
  5. Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
  6. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, Pretoria, South Africa
  7. Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey
  8. Department of Mathematics, Near East University, 99138 Nicosia, Cyprus


The perturbed nonlinear Schrödinger–Hirota equation with spatio–temporal dispersion that governs the propagation of dispersive pulses in optical fibers is investigated in this study using three methods that are the Csch method, Tanh–Coth method and modified simple equation method. The Kerr and power laws of nonlinearity are taken into account. Bright soliton, dark soliton, singular soliton, mixed bright–dark soliton and periodic solutions are retrieved. Many constraint conditions required for the existence of solutions emerge from the integration methods. Furthermore, we demonstrate the dynamical behaviors and physical significance of these solutions by using different parameter values..


Solitary wave solutions, Csch method, Tanh–Coth method, Modified simple equation method.

Submitted at: May 4, 2022
Accepted at: April 5, 2023


ANWAR JA’AFAR MOHAMAD JAWAD, ANJAN BISWAS, YAKUP YILIDIRIM, ABDULAH A. ALGHAMDI, Dispersive optical solitons with Schrödinger–Hirota equation by a couple of integration schemes, Journal of Optoelectronics and Advanced Materials Vol. 25, Iss. 3-4, pp. 203-209 (2023)