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Optical solitons for Kudryashov’s model: undetermined coefficients with Jacobi’s elliptic functions

ABDULLAH SONMEZOGLU1, MEHMET EKICI1, ANJAN BISWAS2,3,4,5,*

Affiliation

  1. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey
  2. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow–115409, Russian Federation
  3. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia
  4. Department of Applied Sciences, Cross—Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati—800201, Romania
  5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa

Abstract

This paper recovers solitons solutions with Kudryashov’s proposed law of refractive index having quadruple power-law of nonlinear refractive index. The method of undetermined coefficients is the integration algorithm where the starting hypotheses are Jacobi's elliptic functions. A full spectrum of soliton solutions are recovered when the modulus of ellipticity approaches unity.

Keywords

Solitons, Kudryashov, Jacobi ansatz.

Citation

ABDULLAH SONMEZOGLU, MEHMET EKICI, ANJAN BISWAS, Optical solitons for Kudryashov’s model: undetermined coefficients with Jacobi’s elliptic functions, Optoelectronics and Advanced Materials - Rapid Communications, 16, 5-6, May-June 2022, pp.243-247 (2022).

Submitted at: Nov. 25, 2021

Accepted at: June 6, 2022