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Optical soliton solutions for the parabolic nonlinear Schrödinger Hirota’s equation incorporating spatiotemporal dispersion via the tanh method linked with the Riccati equation

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Abstract

This manuscript presents some new exact solutions for the dispersive Schrödinger Hirota’s (SH) equation considering the effects of spatio-temporal dispersion with parabolic law nonlinearity. A wave transformation technique is implemented to transform the SH equation into a nonlinear ordinary differential equation. The solutions for the dispersive SH equation are derived using the modified extended tanh approach. These solutions exhibits various sorts of solitons, including bright, dark, periodic, and singular solitons. The findings of this research hold potential significance in the domain of fiber-optic communication, as they contribute to a deeper understanding of soliton dynamics.

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Authors and Affiliations

  1. Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pukhtunkhwa, Pakistan

    Shabir Ahmad

  2. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia

    Hanan S. Gafel

  3. School of Physical Science and Technology and Jiangsu Key Laboratory of Thin Films, Soochow University, Suzhou, 215006, China

    Aizaz Khan

  4. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, 11566, Riyadh, Saudi Arabia

    Meraj Ali Khan

  5. School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, Jiangsu, People’s Republic of China

    Mati ur Rahman

  6. Department of Natural Sciences, School of Arts and Sciences, Lebanese American University, Beirut, 11022801, Lebanon

    Mati ur Rahman

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  1. Shabir Ahmad
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  2. Hanan S. Gafel
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Ahmad, S., Gafel, H.S., Khan, A. et al. Optical soliton solutions for the parabolic nonlinear Schrödinger Hirota’s equation incorporating spatiotemporal dispersion via the tanh method linked with the Riccati equation. Opt Quant Electron 56, 382 (2024). https://doi.org/10.1007/s11082-023-05844-z

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