Improved Soliton Solutions of Generalized Fifth Order Time-Fractional KdV Models: Laplace Transform with Homotopy Perturbation Algorithm by Mubashir Qayyum, Efaza Ahmad, Muhammad Bilal Riaz, Jan Awrejcewicz

“…This extended technique provides improved and convergent series solutions through symbolic computation. The proposed methodology is applied to time-fractional Sawada–Kotera, Ito, Lax’s, and Kaup–Kupershmidt models, which are induced from a generalized fifth-order KdV equation. …”
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An Interval Iteration Based Multilevel Thresholding Algorithm for Brain MR Image Segmentation by Yuncong Feng, Wanru Liu, Xiaoli Zhang, Zhicheng Liu, Yunfei Liu, Guishen Wang

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Computational Analysis of Fractional-Order KdV Systems in the Sense of the Caputo Operator via a Novel Transform by Mashael M. AlBaidani, Abdul Hamid Ganie, Adnan Khan

“…These approaches apply straightforward steps through symbolic computation to provide a convergent series solution. …”
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Study of compressive and rarefactive lump solitons structures in dusty plasma with double spectral (r,q) distributed electrons by Uday Narayan Ghosh

“…By using HBM, an auxiliary function is constructed, and through symbolic computation, three arbitrary constant sets are formed. …”
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A Novel Approach Based on Time Cluster for Activity Recognition of Daily Living in Smart Homes by Yaqing Liu, Dantong Ouyang, Yong Liu, Rong Chen

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Mathematical practice, crowdsourcing, and social machines by Martin, U, Pease, A

“…Crowdsourcing pulls together diverse experts to solve problems; symbolic computation tackles huge routine calculations; and computers check proofs too long and complicated for humans to comprehend. …”

Hopfield Net spreading activation for grounding of abstract action words in cognitive robot by Rasheed, N., Amin, S. H. M., Sultana, U., Bhatti, A. R.

“…Hence, the proposed model with the strength of symbolic computation extends the grounding mechanism to the abstract words category, and also provides a tool (i.e. a practical way) to investigate the link that exists between sensorimotor representation and abstract conceptual knowledge of the cognitive robot. …”

Nonlinear superposition between lump soliton and other nonlinear localized waves for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation by Longxing Li, Zhengde Dai, Bitao Cheng, Rubing Li

“…Under the premise of the acquired N-soliton solutions, the nonlinear superposition structures among lump soliton, stripe solitons, resonance Y-type solitons and breather waves guarantee that the lump soliton does not collide with other localized waves by means of the long wave limit approach, soliton resonance method and symbolic computation. Meanwhile, a variety of soliton molecules are yielded through nonlinear superposition and velocity resonance mechanisms. …”
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Distance Matters: A Distance-Aware Medical Image Segmentation Algorithm by Yuncong Feng, Yeming Cong, Shuaijie Xing, Hairui Wang, Cuixing Zhao, Xiaoli Zhang, Qingan Yao

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Multiple Soliton Solutions for Coupled Modified Korteweg–de Vries (mkdV) with a Time-Dependent Variable Coefficient by Haroon D. S. Adam, Khalid I. A. Ahmed, Mukhtar Yagoub Youssif, Marin Marin

“…Such calculations are made by using a software with symbolic computation software, for instance, Maple. Recently some researchers used Maple in order to show that the bilinear method of Hirota is a straightforward technique which can be used in the approach of differential, nonlinear models. …”
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Cellular cardiac electrophysiology modelling with Chaste and CellML by Cooper, J, Spiteri, R, Mirams, G

“…We have also integrated the CVODE solvers, a 'gold standard' for stiff systems, and we have developed support for symbolic computation of the Jacobian matrix, yielding further increases in the performance and accuracy of CVODE. …”

Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+1)-dimensional burgers system in ocean physics and hydrodynamics by Sachin Kumar, Amit Kumar, Brij Mohan

“…In this paper, we apply two different analytical methods, namely the generalized Kudryashov (GK) method, and the generalized exponential rational function method, to derive abundant novel analytic exact solitary wave solutions, including multi-wave solitons, multi-wave peakon solitons, kink-wave profiles, stripe solitons, wave-wave interaction profiles, and periodic oscillating wave profiles for a (3+1)-dimensional Burgers system with the assistance of symbolic computation. By employing the generalized Kudryashov method, we obtain some new families of exact solitary wave solutions for the Burgers system. …”
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Two Analytical Schemes for the Optical Soliton Solution of the (2 + 1) Hirota–Maccari System Observed in Single-Mode Fibers by Neslihan Ozdemir, Aydin Secer, Muslum Ozisik, Mustafa Bayram

“…Analytical solutions of the model are successfully acquired with the assistance of symbolic computation utilizing these methods. Finally, 3D, 2D, and contour graphs of solutions are depicted at specific values of parameters. …”
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Enhanced chimp hierarchy optimization algorithm with adaptive lens imaging for feature selection in data classification by Li Zhang, XiaoBo Chen

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Lump solutions to an integrable (3 + 1)-dimensional Boussinesq equation and its dimensionally reduced equations in shallow water by Shao-Wen Yao, Md Nuruzzaman, Dipankar Kumar, Nishat Tamanna, Mustafa Inc

“…This study uses the Hirota bilinear method and Maple, a symbolic computation program, to derive lump solutions for a new integrable (3 + 1)-dimensional Boussinesq equation and its dimensionally reduced equations. …”
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Deep Reinforcement Learning Based on Similarity Constrained Dual Policy Distillation by XU Ping'an, LIU Quan

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Self-Constructed Deep Fuzzy Neural Network for Traffic Flow Prediction by Jiyao An, Jin Zhao, Qingqin Liu, Xinjiao Qian, Jiali Chen

“…By leveraging recent advances in neuro-symbolic computation for automatic rule learning, SCDFNN learns interpretable human traffic cognitive rules based on deep learning, incorporating two innovations: (1) a new fuzzy neural network hierarchical architecture constructed for spatial-temporal dependences in the traffic feature domain; (2) a modified Wang–Mendel method used to fuse regional differences in traffic data, resulting in adaptive fuzzy-rule weights without sacrificing interpretability. …”
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Long- and Short-Term Preference Modeling Based on Multi-Level Attention for Next POI Recommendation by Xueying Wang, Yanheng Liu, Xu Zhou, Zhaoqi Leng, Xican Wang

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An estimation of temperature in living tissue using a fractional model with sinusoidal heat flux conditions on the skin surface by Dauda Gulibur Yakubu, Samaila Markus, Laminu Dahiru, Isah Abdullahi, Garba Adamu Tahiru, Mohammed Abdulhameed

“…The proposed technique, with the aid of symbolic computation, provides an impressive solution for the bioheat transfer equation. …”
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The Investigation of Nonlinear Polynomial Control Systems by Sergei Nikolaevich Chukanov, Ilya Stanislavovich Chukanov

“…To calculate the Gro¨bner basis, the Buchberger algorithm is used, which is implemented in symbolic computation programs for solving systems of nonlinear polynomial equations. …”
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