Lump Solutions and Resonance Stripe Solitons to the (2+1)-Dimensional Sawada-Kotera Equation by Xian Li, Yao Wang, Meidan Chen, Biao Li

“…Then by adding an exponential function into the original positive quadratic function, the interaction solutions between lump solutions and one stripe soliton are derived. Furthermore, by extending this method to a general combination of positive quadratic function and hyperbolic function, the interaction solutions between lump solutions and a pair of resonance stripe solitons are provided. …”
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Breather and solitonic behavior of parametric Sine–Gordon equation with phase-shift and driven term by Taj Munir, Muhammad Zaman, Can Kang, Hussan Zeb, Alrazi Abdeljabbar, Mohammed Daher Albalwi

Subjects: “…Soliton and breather solution…”
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Action potential-like modes as modulated waves in an extended soliton model for biomembranes and nerves by J. A. Onana Inouga, S. E. Mkam Tchouobiap, M. Siewe Siewe, F. M. Moukam Kakmeni

“…By extending the Heimburg–Jackson soliton model for neural signals that considers the effects of higher-order nonlinearities, the dynamics of modulated waves characterizing electromechanical density pulses is described in the form of soliton-like pulse signals representing nerve impulses, well-known as action potential pulses (Appulses). …”
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Cubic-quartic optical solitons with polarization-mode dispersion by the improved adomian decomposition scheme by Afrah M. Almalki, A.A. AlQarni, H.O. Bakodah, A.A. Alshaery, Ahmed H. Arnous, Anjan Biswas

“…This research investigates the numerical computation of cubic-quartic optical solitons in birefringent fibers in accordance with Kerr's law. …”
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A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation by Xi-zhong Liu, Zhi-Mei Lou, Xian-Min Qian, Lamine Thiam

“…Based on bilinear formulation of a (3 + 1)-dimensional soliton equation, lump solution and related interaction solutions are investigated. …”
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Retiming dynamics of harmonically mode-locked laser solitons in a self-driven optomechanical lattice by Xiaocong Wang, Benhai Wang, Wenbin He, Xintong Zhang, Qi Huang, Zhiyuan Huang, Xin Jiang, Meng Pang, Philip. St. J. Russell

“…We reveal that, after an abrupt perturbation, each soliton in the lattice undergoes damped oscillatory retiming within its trapping potential, while the retiming is strongly coupled to soliton dissipation. …”
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Aproximación adiabática para la interacción de dos solitones con ganancias y pérdidas by Misael Erikson Maguiña Palma, Máximo Augusto Agüero Granados, Tatyana Leonidovna Belyaeva, Vladimir Serkin Nikolaevich

Subjects: “…teoría de la perturbación para solitones…”
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The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation by Changhao Zhang, Guiying Chen

“…By employing the Hirota’s bilinear method, the bilinear form is obtained, and the one-soliton solution and two-soliton solution are constructed. …”
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Characteristics of the Soliton Molecule and Lump Solution in the 2+1-Dimensional Higher-Order Boussinesq Equation by Bo Ren

“…The soliton molecules, as bound states of solitons, have attracted considerable attention in several areas. …”
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Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model by Kang-Jia Wang, Feng Shi, Guo-Dong Wang

“…Two recent effective technologies, namely, the variational method and subequation method, are employed to construct the abundant soliton solutions. By these two methods, diverse solutions such as the bright soliton, dark soliton, bright-dark soliton, perfect periodic soliton, and singular periodic soliton are successfully extracted. …”
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The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation by Li-Jun Xu, Zheng-Yi Ma, Jin-Xi Fei, Hui-Ling Wu, Li Cheng

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Fractional Soliton Dynamics and Spectral Transform of Time-Fractional Nonlinear Systems: A Concrete Example by Sheng Zhang, Yuanyuan Wei, Bo Xu

“…Finally, in the case of reflectionless potential the obtained exact solution is reduced to fractional n-soliton solution. In order to gain more insights into the fractional n-soliton dynamics, the dynamical evolutions of the reduced fractional one-, two-, and three-soliton solutions are simulated. …”
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Darboux Transformations and Soliton-Like Solutions of a New System Associated with the Negative AKNS System by Shilong Huang, Hongmin Li

“…By its reciprocal relation with the first negative flow in the AKNS hierarchy, we construct three Darboux-Bäcklund transformations for the new system and obtain some soliton-like solutions.…”
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Conformal η-Ricci-Yamabe Solitons within the Framework of ϵ-LP-Sasakian 3-Manifolds by Abdul Haseeb, Meraj Ali Khan

“…In the present note, we study ϵ-LP-Sasakian 3-manifolds M3ϵ whose metrics are conformal η-Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M3ϵ with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ−ϵσ=−2ϵl+mr/2+1/2p+2/3. …”
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Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model by Naher Mohammed A. Alsafri, Hamad Zogan

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A collection of optical solitons for the concatenation model in the presence of multiplicative white noise and spatio-temporal dispersion by Wedad Albalawi, Nauman Raza, Saima Arshed, Evren Hincal, Saud Owyed, Kottakkaran Sooppy Nisar, Mohammed Zakaria

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Soliton solutions of the (2 + 1)-dimensional Jaulent-Miodek evolution equation via effective analytical techniques by Muhammad Zubair Raza, Muhammad Abdaal Bin Iqbal, Aziz Khan, D. K. Almutairi, Thabet Abdeljawad

“…These solutions are computed using Maple 18, and encompass a variety of wave structures, including bright solitons, kink solitons, periodic waves, and singular solitons. …”
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The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation by Guiying Chen, Xiangpeng Xin, Feng Zhang

“…Finally, under certain conditions, the asymptotic behavior of the two-soliton solution is analyzed to prove that the collision of the two-soliton is elastic.…”
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CRE Solvability, Exact Soliton-Cnoidal Wave Interaction Solutions, and Nonlocal Symmetry for the Modified Boussinesq Equation by Wenguang Cheng, Biao Li

“…It is proved that the modified Boussinesq equation is consistent Riccati expansion (CRE) solvable; two types of special soliton-cnoidal wave interaction solution of the equation are explicitly given, which is difficult to be found by other traditional methods. …”
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Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds by Mancho Manev

Subjects: “…Ricci–Bourguignon almost soliton…”
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