Travelling waves solution for fractional-order biological population model
Math. Model. Nat. Phenom., 16 (2021) 32
Published online: 2021-06-04
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Solitonic behaviors in the coupled Drinfeld-Sokolov-Wilson system with fractional dynamics
Naher Mohammed A. AlsafriAIMS Mathematics 10 (3) 4747 (2025)
https://doi.org/10.3934/math.2025218
On the Solitons, Shocks, and Periodic Wave Solutions to the Fractional Quintic Benney–Lin Equation for Liquid Film Dynamics
Haifa A. Alyousef, Rasool Shah, Alvaro H. Salas, C. G. L. Tiofack, Sherif M. E. Ismaeel, Weaam Alhejaili and Samir A. El‐TantawyMathematical Methods in the Applied Sciences 48 (5) 6145 (2025)
https://doi.org/10.1002/mma.10661
Unearthing the existence of intermode soliton-like solutions within integrable quintic Kundu–Eckhaus equation
Weaam Alhejaili, Rasool Shah, Alvaro H. Salas, Santanu Raut, Subrata Roy, Ashim Roy and Samir A. El-TantawyRendiconti Lincei. Scienze Fisiche e Naturali 36 (1) 233 (2025)
https://doi.org/10.1007/s12210-024-01288-z
Fractal formation and chaotic soliton phenomena in nonlinear conformable Heisenberg ferromagnetic spin chain equation
Rashid Ali, Rabia Imtiaz, Moin-ud-Din Junjua, Fuad A. Awwad, Emad A. A. Ismail and Ahmed S. HendyOpen Physics 23 (1) (2025)
https://doi.org/10.1515/phys-2025-0166
Multiplicity of kink and hump structures in Van der Waals gas system
Rashid Ali, Rabia Imtiaz, Moin-ud-Din Junjua, Fuad A. Awwad, Emad A. A. Ismail and Ahmed S. HendyAIMS Mathematics 10 (5) 12493 (2025)
https://doi.org/10.3934/math.2025564
Stability and synchronization of delayed fractional‐order reaction‐diffusion Cohen–Grossberg neural networks under perturbation and parameter mismatch
Zixin ZhouAsian Journal of Control (2025)
https://doi.org/10.1002/asjc.3764
Dynamical behavior of kink solitons in nonlinear Chaffee-Infante equations with chaotic and bifurcation analysis
Zainab Alsheekhhussain, Tariq S. Alshammari, Yaouba Amadou, Saleh Alshammari, Mohammad Alshammari and M. Mossa Al-sawalhaAin Shams Engineering Journal 16 (8) 103438 (2025)
https://doi.org/10.1016/j.asej.2025.103438
Soliton dynamics in the $ (2+1) $-dimensional Nizhnik-Novikov-Veselov system via the Riccati modified extended simple equation method
Naveed Iqbal and Meshari AlesemiAIMS Mathematics 10 (2) 3306 (2025)
https://doi.org/10.3934/math.2025154
On the analytical soliton approximations to fractional forced Korteweg–de Vries equation arising in fluids and plasmas using two novel techniques
Weaam Alhejaili, Emad A Az-Zo’bi, Rasool Shah and S A El-TantawyCommunications in Theoretical Physics 76 (8) 085001 (2024)
https://doi.org/10.1088/1572-9494/ad53bc
Study of traveling soliton and fronts phenomena in fractional Kolmogorov-Petrovskii-Piskunov equation
Ikram Ullah, Kamal Shah and Thabet AbdeljawadPhysica Scripta 99 (5) 055259 (2024)
https://doi.org/10.1088/1402-4896/ad3c7e
Establishing breather and N-soliton solutions for conformable Klein–Gordon equation
Muhammad Bilal, Javed Iqbal, Rashid Ali, Fuad A. Awwad and Emad A. A. IsmailOpen Physics 22 (1) (2024)
https://doi.org/10.1515/phys-2024-0044
Exploring soliton solutions in nonlinear spatiotemporal fractional quantum mechanics equations: an analytical study
Rashid Ali, Zhao Zhang and Hijaz AhmadOptical and Quantum Electronics 56 (5) (2024)
https://doi.org/10.1007/s11082-024-06370-2
The analytical study of soliton dynamics in fractional coupled Higgs system using the generalized Khater method
Rashid Ali, Zhao Zhang, Hijaz Ahmad and Mohammad Mahtab AlamOptical and Quantum Electronics 56 (6) (2024)
https://doi.org/10.1007/s11082-024-06924-4
Reliable analysis for obtaining exact soliton solutions of (2+1)-dimensional Chaffee-Infante equation
Naveed Iqbal, Muhammad Bilal Riaz, Meshari Alesemi, Taher S. Hassan, Ali M. Mahnashi and Ahmad ShafeeAIMS Mathematics 9 (6) 16666 (2024)
https://doi.org/10.3934/math.2024808
Analytical discovery of dark soliton lattices in (2+1)-dimensional generalized fractional Kundu-Mukherjee-Naskar equation
Abdulah A. AlghamdiAIMS Mathematics 9 (8) 23100 (2024)
https://doi.org/10.3934/math.20241123
Exploring chaotic behavior of optical solitons in complex structured Conformable Perturbed Radhakrishnan-Kundu-Lakshmanan Model
Rashid Ali, Mohammad Mahtab Alam and Shoaib BarakPhysica Scripta 99 (9) 095209 (2024)
https://doi.org/10.1088/1402-4896/ad67b1
Pioneering the plethora of soliton for the (3+1)-dimensional fractional heisenberg ferromagnetic spin chain equation
Ikram Ullah, Kamal Shah, Thabet Abdeljawad and Shoaib BarakPhysica Scripta 99 (9) 095229 (2024)
https://doi.org/10.1088/1402-4896/ad6ae6
Exploring the dynamical behaviour of optical solitons in integrable kairat-II and kairat-X equations
Yeliang Xiao, Shoaib Barak, Manel Hleili and Kamal ShahPhysica Scripta 99 (9) 095261 (2024)
https://doi.org/10.1088/1402-4896/ad6e34
Periodic and Axial Perturbations of Chaotic Solitons in the Realm of Complex Structured Quintic Swift-Hohenberg Equation
Naveed Iqbal, Wael W. Mohammed, Mohammad Alqudah, Amjad E. Hamza and Shah HussainMathematical and Computational Applications 29 (5) 86 (2024)
https://doi.org/10.3390/mca29050086
Dynamics behaviours of N-kink solitons in conformable Fisher–Kolmogorov–Petrovskii–Piskunov equation
Ikram UllahEngineering Computations 41 (10) 2404 (2024)
https://doi.org/10.1108/EC-04-2024-0358
Kink soliton solution of integrable Kairat-X equation via two integration algorithms
Raed Qahiti, Naher Mohammed A. Alsafri, Hamad Zogan and Abdullah A. FaqihiAIMS Mathematics 9 (11) 30153 (2024)
https://doi.org/10.3934/math.20241456
Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model
Naher Mohammed A. Alsafri and Hamad ZoganAIMS Mathematics 9 (12) 34886 (2024)
https://doi.org/10.3934/math.20241661
Noise effect on soliton phenomena in fractional stochastic Kraenkel-Manna-Merle system arising in ferromagnetic materials
Humaira Yasmin, Azzh Saad Alshehry, Abdul Hamid Ganie, Ahmad Shafee and Rasool ShahScientific Reports 14 (1) (2024)
https://doi.org/10.1038/s41598-024-52211-3
Exploration of nonlinear traveling wave phenomena in quintic conformable Benney-Lin equation within a liquid film
Noorah MsharyAIMS Mathematics 9 (5) 11051 (2024)
https://doi.org/10.3934/math.2024542
Dynamical behavior of the fractional coupled Konopelchenko–Dubrovsky and (3 + 1)-dimensional modified Korteweg–de Vries–Zakharov–Kuznestsov equations
Arslan Aslam, Abdul Majeed, Mohsin Kamran, Mustafa Inc and Rubayyi T. AlqahtaniOptical and Quantum Electronics 55 (6) (2023)
https://doi.org/10.1007/s11082-023-04704-0
Discovering novel soliton solutions for (3+1)-modified fractional Zakharov–Kuznetsov equation in electrical engineering through an analytical approach
Manal Alqhtani, Khaled M. Saad, Rasool Shah and Waleed M. HamanahOptical and Quantum Electronics 55 (13) (2023)
https://doi.org/10.1007/s11082-023-05407-2
Analysis of soliton phenomena in (2+1)-dimensional Nizhnik-Novikov-Veselov model via a modified analytical technique
Saima Noor, Azzh Saad Alshehry, Asfandyar Khan and Imran KhanAIMS Mathematics 8 (11) 28120 (2023)
https://doi.org/10.3934/math.20221439
Exploring Propagating Soliton Solutions for the Fractional Kudryashov–Sinelshchikov Equation in a Mixture of Liquid–Gas Bubbles under the Consideration of Heat Transfer and Viscosity
Rashid Ali, Ahmed S. Hendy, Mohamed R. Ali, Ahmed M. Hassan, Fuad A. Awwad and Emad A. A. IsmailFractal and Fractional 7 (11) 773 (2023)
https://doi.org/10.3390/fractalfract7110773
A comparative analysis of generalized and extended (G′G)-Expansion methods for travelling wave solutions of fractional Maccari's system with complex structure
Rashid Ali and Elsayed Tag-eldinAlexandria Engineering Journal 79 508 (2023)
https://doi.org/10.1016/j.aej.2023.08.007
Analysis of soliton phenomena in (2+1)-dimensional Nizhnik-Novikov-Veselov model via a modified analytical technique
Saima Noor, Azzh Saad Alshehry, Asfandyar Khan and Imran KhanAIMS Mathematics 8 (11) 28120 (2023)
https://doi.org/10.3934/math.20231439
Innovative approach for developing solitary wave solutions for the fractional modified partial differential equations
Saima Noor, Azzh Saad Alshehry, Asfandyar Khan and Imran KhanAIMS Mathematics 8 (11) 27775 (2023)
https://doi.org/10.3934/math.20231422
On the modified versions of G′G-expansion technique for analyzing the fractional coupled Higgs system
Ma’mon Abu Hammad, Rasool Shah, B. M. Alotaibi, Mohammed Alotiby, C. G. L. Tiofack, Albandari W. Alrowaily and S. A. El-TantawyAIP Advances 13 (10) (2023)
https://doi.org/10.1063/5.0167916
Innovative approach for developing solitary wave solutions for the fractional modified partial differential equations
Saima Noor, Azzh Saad Alshehry, Asfandyar Khan and Imran KhanAIMS Mathematics 8 (11) 27775 (2023)
https://doi.org/10.3934/math.20221422
Analytical Investigation of Noyes–Field Model for Time‐Fractional Belousov–Zhabotinsky Reaction
Mohammed Kbiri Alaoui, Rabia Fayyaz, Adnan Khan, Rasool Shah, Mohammed S. Abdo and Fathalla A. RihanComplexity 2021 (1) (2021)
https://doi.org/10.1155/2021/3248376
A Comparative Study of the Fractional-Order System of Burgers Equations
Yanmei Cui, Nehad Ali Shah, Kunju Shi, Salman Saleem and Jae Dong ChungSymmetry 13 (10) 1786 (2021)
https://doi.org/10.3390/sym13101786