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Conservation laws for cubic–quartic optical solitons with Fokas–Lenells equation having maximum intensity

ANJAN BISWAS1,2,3,4,* , ABDUL H. KARA5, YAKUP YIDIRIM6, HASHIM M. ALSHEHRI2

Affiliation

  1. Department of Mathematics and Physics, Grambling State University, Grambling, LA-71245, USA
  2. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia
  3. Department of Applied Sciences, Cross–Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
  4. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, Pretoria, South Africa
  5. School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits–2050, Johannesburg, South Africa
  6. Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey

Abstract

This paper retrieves conservation laws of the cubic–quartic Fokas–Lenells equation with power–law of nonlinear refractive index. The multiplier approach reveals three conservation laws. The conserved quantities are computed from the bright 1– soliton solutions that are reported earlier.

Keywords

Multipliers, Lie symmetry, Densities.

Citation

ANJAN BISWAS, ABDUL H. KARA, YAKUP YIDIRIM, HASHIM M. ALSHEHRI, Conservation laws for cubic–quartic optical solitons with Fokas–Lenells equation having maximum intensity, Optoelectronics and Advanced Materials - Rapid Communications, 16, 11-12, November-December 2022, pp.536-537 (2022).

Submitted at: May 19, 2022

Accepted at: Dec. 5, 2022