The Improved (G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation by Hasibun Naher, Farah Aini Abdullah

“…Moreover, the obtained solutions including solitons and periodic solutions are described by three different families. …”
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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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Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation by Bao Wang, Zhiqiang Chen

“…Most of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare. …”
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Recent Developments in Instantons in Noncommutative ℝ𝟒 by Akifumi Sako

“…These smooth deformations are the latest developments in noncommutative gauge theories, and we can extend the procedure to other types of solitons. As an example, vortex deformations are studied.…”
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Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity by Adil Jhangeer, Abdallah M. Talafha, Ariana Abdul Rahimzai, Lubomír Říha

“…The accuracy of the derived solitons is validated through symbolic computations performed in Wolfram Mathematica, accompanied by graphical visualizations of the proposed solutions. …”
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Symmetry-governed dynamics of magnetic skyrmions under field pulses by Vladyslav M. Kuchkin, Bruno Barton-Singer, Pavel F. Bessarab, Nikolai S. Kiselev

“…Abstract Topological magnetic solitons, such as skyrmions, exhibit intriguing particle-like properties that make them attractive for fundamental research and practical applications. …”
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Plasma Parameters Effects on Dust Acoustic Solitary Waves in Dusty Plasmas of Four Components by Abeer A. Mahmoud, Essam M. Abulwafa, Abd-alrahman F. Al-Araby, Atalla M. Elhanbaly

“…Employing the reductive perturbation method, an evolution equation is derived to describe the small-amplitude dust-acoustic solitons in the considered plasma system. The used reductive perturbation stretches lead to the nonlinear KdV and modified KdV equations with nonlinear and dispersion coefficients that depend on the parameters of the plasma. …”
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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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Nonvolatile current-induced topological charge imbalance of magnetic textures by Shangyuan Wang, Lei Qiu, Ka Shen

“…Abstract The topological charge of magnetic solitons gives rise to characteristic Hall-type effects, which allows to recognize the nontrivial topology of the spin textures, such as skyrmions or antiskyrmions. …”
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Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation by Yueling Cheng, Siyuan Hong, Shujun Yang, Xu Chi, Jinghao Yang

“…Various types of analytical explicit solutions, including well-known bell-shape solitons, mixed solitary wave solutions, and periodic wave solutions are obtained. …”
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Solitary wave solutions of the time fractional Benjamin Bona Mahony Burger equation by K. Pavani, K. Raghavendar, K. Aruna

“…As a result, bell shaped solitons are discovered under the influence of hyperbolic functions. …”
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Solving Fractional-Order Diffusion Equations in a Plasma and Fluids via a Novel Transform by Pongsakorn Sunthrayuth, Haifa A. Alyousef, S. A. El-Tantawy, Adnan Khan, Noorolhuda Wyal

“…Also, the proposed method helps many plasma physicists in modeling several nonlinear structures such as solitons, shocks, and rogue waves in different plasma systems.…”
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Multilayer magnetic skyrmion devices for spiking neural networks by Aijaz H Lone, Daniel N Rahimi, Hossein Fariborzi, Gianluca Setti

“…Spintronic devices -based on magnetic solitons, such as the domain wall motion and the skyrmions, have shown a significant potential for applications in energy-efficient data storage and beyond CMOS computing architectures. …”
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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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