Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation by Amjad E. Hamza, Khidir Shaib Mohamed, Alaa Mustafa, Khaled Aldwoah, Mohammed Hassan, Hicham Saber

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New Solitary Wave Solutions of the Lakshamanan–Porsezian–Daniel Model with the Application of the Φ⁶ Method in Fractional Sense by Hicham Saber, Hussien Albala, Khaled Aldwoah, Amer Alsulami, Khidir Shaib Mohamed, Mohammed Hassan, Abdelkader Moumen

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Analytical Solutions of the Fractional Complex Ginzburg-Landau Model Using Generalized Exponential Rational Function Method with Two Different Nonlinearities by Ghazala Akram, Maasoomah Sadaf, M. Atta Ullah Khan, Hasan Hosseinzadeh

“…A variety of exact traveling wave solutions are reported including dark, bright, and kink soliton solutions. The nature of the optical solitons is demonstrated through the graphical representations of the acquired solutions for variation in the fractional order of derivative. …”
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The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation by Guiping Shen, Jalil Manafian, Syed Maqsood Zia, Dinh Tran Ngoc Huy, Trung-Hieu Le

“…Materials such as photovoltaic-photorefractive, polymer, and organic contain spatial solitons and optical nonlinearities, which can be identified by seeking from energy-dependent Schrödinger potential. …”
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Inverse scattering transform algorithm for the Manakov system by A.E. Chernyavsky, L.L. Frumin

“…We also give an example of the algorithm application to simulate the collision of a differently polarized pair of Manakov optical vector solitons.…”
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Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense by Md. Nur Alam

“…Solitons, as localized wave phenomena, play a significant role in many areas of nonlinear science, such as quantum mechanics, plasma physics, fluid dynamics, water engineering, and optical fiber technology.…”
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Exploring novel solitary wave phenomena in Klein–Gordon equation using $$\phi ^{6}$$ ϕ 6 model expansion method by Yasir A. Madani, Khidir Shaib Mohamed, Sadia Yasin, Sehrish Ramzan, Khaled Aldwoah, Mohammed Hassan

“…The 2D, 3D, and contour plots clearly show different types of solitary waves, like bright, dark, singular, and periodic solitons. This gives us a lot of information about how the KG equation doesn’t work in a straight line. …”
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The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method by Farah M. Al-Askar, Wael W. Mohammed

“…Due to the Radhakrishnan-Kundu-Lakshmanan equation’s importance in modeling the propagation of solitons along an optical fiber, the derived solutions are vital for characterizing a number of key physical processes. …”
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