W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers by Annamalai Muniyappan, Muthuvel Sharmila, Elumalai Kaviya Priya, Sekar Sumithra, Anjan Biswas, Yakup Yıldırım, Maggie Aphane, Seithuti P. Moshokoa, Hashim M. Alshehri

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