This article investigates the optical soliton solutions of the Kundu–Mukherjee–Naskar (KMN) equation with the help of the enhanced modified extended tanh method (eMETEM). The equation is crucial for simulating the bending of light beam, rogue waves in the seas, and fiber pulses in optics. Some different kinds of solitons such as singular-periodic, dark and singular for the KMN equation have been successfully obtained by the used method. Utilizing Maple, we confirm that all acquired solutions satisfy the considered equation. We have also analyzed the impact of the parameters graphically in the considered equation. The results shown in the figures reveal that the parameters of the considered equation have an important effect upon soliton dynamics. It is anticipated that the gained solutions and used approach would create remarkable chances for future work in a variety of science areas.
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Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah, Saudi Arabia
Beni Suef Univ, Fac Sci, Math Dept, Bani Suwayf, EgyptNamal Inst, Dept Math, Fac Sci, Talagang Rd, Mianwali 42250, Pakistan
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Univ Hail, Fac Sci, Dept Math, Hail 2440, Saudi Arabia
Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, EgyptUniv Hail, Fac Sci, Dept Math, Hail 2440, Saudi Arabia
Mohammed, Wael W.
Al-Askar, Farah M.
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Princess Nourah Bint Abdulrahman Univ, Dept Math Sci, Coll Sci, POB 84428, Riyadh 11671, Saudi ArabiaUniv Hail, Fac Sci, Dept Math, Hail 2440, Saudi Arabia
Al-Askar, Farah M.
Cesarano, Clemente
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Int Telemat Univ Uninettuno, Sect Math, CorsoVittorio Emanuele II,39, I-00186 Rome, ItalyUniv Hail, Fac Sci, Dept Math, Hail 2440, Saudi Arabia
Cesarano, Clemente
El-Morshedy, M.
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Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia
Mansoura Univ, Fac Sci, Dept Stat & Comp Sci, Mansoura 35516, EgyptUniv Hail, Fac Sci, Dept Math, Hail 2440, Saudi Arabia
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Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
Ctr Appl Math Sci, Hohhot 010022, Inner Mongolia, Peoples R China
Minist Educ IMNU, Lab Infinite dimens Hamiltonian Syst & Its Algorit, Hohhot 010022, Peoples R ChinaInner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
Zhao, Dan
Zhaqilao
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Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
Ctr Appl Math Sci, Hohhot 010022, Inner Mongolia, Peoples R China
Minist Educ IMNU, Lab Infinite dimens Hamiltonian Syst & Its Algorit, Hohhot 010022, Peoples R ChinaInner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China