Y. Zhou, Basic Theory of Fractional Differential Equations (World Scientific, Singapore, 2023)

Book  Google Scholar 

A.S. Rashed, A.N.M. Mostafa, A.M. Wazwaz, S.M. Mabrouk, Dynamical behavior and soliton solutions of the Jumarie’s space–time fractional modified Benjamin–Bona–Mahony equation in plasma physics. Roman. Rep. Phys. 75(1), 104 (2023)

Google Scholar 

Q. Wu, Research on deep learning image processing technology of second-order partial differential equations. Neural Comput. Appl. 35(3), 2183–2195 (2023)

Article  Google Scholar 

J. Ahmad, Z. Mustafa, J. Habib, Analyzing dispersive optical solitons in nonlinear models using an analytical technique and its applications. Opt. Quant. Electron. 56(1), 77 (2024)

Article  ADS  Google Scholar 

B.A. Malomed, Self-accelerating solitons. Europhys. Lett. 140, 22001 (2022)

Article  ADS  Google Scholar 

S. Saifullah, S. Shahid, A. Zada, Analysis of neutral stochastic fractional differential equations involving Riemann–Liouville fractional derivative with retarded and advanced arguments. Qual. Theory Dyn. Syst. 23(1), 39 (2024)

Article  MathSciNet  Google Scholar 

D. Lu, M. Suleman, M. Ramzan, J. Ul-Rahman, Numerical solutions of coupled nonlinear fractional KdV equations using He’s fractional calculus. Int. J. Mod. Phys. B 35(02), 2150023 (2021)

Article  ADS  MathSciNet  Google Scholar 

M. Khan, N.K. Mahala, P. Kumar, Caputo derivative based nonlinear fractional order variational model for motion estimation in various application oriented spectrum. Sadhana 49(1), 1–28 (2024)

MathSciNet  Google Scholar 

M. Alabedalhadi, S. Al-Omari, M. Al-Smadi, S. Momani, D.L. Suthar, New chirp soliton solutions for the space–time fractional perturbed Gerdjikov–Ivanov equation with conformable derivative. Appl. Math. Sci. Eng. 32(1), 2292175 (2024)

Article  MathSciNet  Google Scholar 

K.J. Wang, F. Shi, A novel computational approach to the local fractional \((3+1)\)-dimensional modified Zakharov–Kuznetsov equation. Fractals 32(01), 2450026 (2024)

Article  Google Scholar 

K.J. Wang, New exact solutions of the local fractional modified equal width-Burgers equation on the Cantor sets. FRACTALS (fractals) 31(09), 1–9 (2023)

Google Scholar 

W. Razzaq, A. Zafar, H.M. Ahmed, W.B. Rabie, Construction of solitons and other wave solutions for generalized Kudryashov’s equation with truncated M-fractional derivative using two analytical approaches. Int. J. Appl. Comput. Math. 10(1), 21 (2024)

Article  MathSciNet  Google Scholar 

J. Ahmad, S. Akram, K. Noor, M. Nadeem, A. Bucur, Y. Alsayaad, Soliton solutions of fractional extended nonlinear Schrödinger equation arising in plasma physics and nonlinear optical fiber. Sci. Rep. 13(1), 10877 (2023)

Article  ADS  Google Scholar 

G. Akram, M. Sadaf, M.A.U. Khan, Soliton solutions of the resonant nonlinear Schrödinger equation using modified auxiliary equation method with three different nonlinearities. Math. Comput. Simul. 206, 1–20 (2023)

Article  Google Scholar 

M.I. Asjad, W.A. Faridi, S.E. Alhazmi, A. Hussanan, The modulation instability analysis and generalized fractional propagating patterns of the Peyrard–Bishop DNA dynamical equation. Opt. Quant. Electron. 55(3), 232 (2023)

Article  Google Scholar 

Y. Yildrim, A. Biswas, A. Dakova, P. Guggilla, S. Khan, H.M. Alshehri, M.R. Belic, Cubic–quartic optical solitons having quadratic–cubic nonlinearity by sine-Gordon equation approach. Ukr. J. Phys. Opt. 22(4), 255 (2021)

Article  Google Scholar 

E.M. Zayed, R.M. Shohib, M.E. Alngar, A. Biswas, Y. Yildirim, A. Dakova, M.R. Belic, Optical solitons in the Sasa–Satsuma model with multiplicative noise via Itô calculus. Ukr. J. Phys. Opt. 23(1), 9–14 (2022)

Article  Google Scholar 

M. Mf, A. Hm, Highly dispersive optical soliton perturbation with Kudryashov’s sextic-power law of nonlinear refractive index. Ukr. J. Phys. Opt. 23(1), 24 (2022)

Article  Google Scholar 

O. González-Gaxiola, A. Biswas, Y. Yildirim, H.M. Alshehri, Highly dispersive optical solitons in birefringent fibres with non-local form of nonlinear refractive index: Laplace–Adomian decomposition. Ukr. J. Phys. Opt. 23(2), 68–76 (2022)

Article  Google Scholar 

A. Biswas, J.M. Vega-Guzman, Y. Yildirim, S.P. Moshokoa, M. Aphane, A.A. Alghamdi, Optical solitons for the concatenation model with power-law nonlinearity: undetermined coefficients. Ukr. J. Phys. Opt. 24(3), 185 (2023)

Article  Google Scholar 

R. Kumar, R. Kumar, A. Bansal, A. Biswas, Y. Yildirim, S.P. Moshokoa, A. Asiri, Optical solitons and group invariants for Chen–Lee–Liu equation with time-dependent chromatic dispersion and nonlinearity by Lie symmetry. Ukr. J. Phys. Opt. 24(4), 4021 (2023)

Article  Google Scholar 

S.R. Ma, A.M. Em, B. Anjan, Y. Yakup, T. Houria, M. Luminita, A. Asim, Optical solitons in magneto-optic waveguides for the concatenation model. Ukr. J. Phys. Opt. 24(3), 248 (2023)

Article  Google Scholar 

A.R. Seadawy, S.T. Rizvi, B. Mustafa, K. Ali, Applications of complete discrimination system approach to analyze the dynamic characteristics of the cubic–quintic nonlinear Schrodinger equation with optical soliton and bifurcation analysis. Results Phys. 56, 107187 (2024)

Article  Google Scholar 

Y. Yildirim, A. Biswas, P. Guggilla, S. Khan, H.M. Alshehri, M.R. Belic, Optical solitons in fibre Bragg gratings with third-and fourth-order dispersive reflectivities. Ukr. J. Phys. Opt. 22(4), 239–254 (2021)

Article  Google Scholar 

A.H. Arnous, A. Biswas, A.H. Kara, Y. Yildirim, L. Moraru, C. Iticescu, A.A. Alghamdi, Optical solitons and conservation laws for the concatenation model with spatio-temporal dispersion (internet traffic regulation). J. Eur. Opt. Soc. Rapid Publ. 19(2), 35 (2023)

Article  Google Scholar 

A.Q. Aa, B. Am, M. Ashf, A. Aa, B. Ho, Dark and singular cubic-quartic optical solitons with Lakshmanan–Porsezian–Daniel equation by the improved Adomian decomposition scheme. Ukr. J. Phys. Opt. 24(1), 46 (2023)

Article  Google Scholar 

N. Jihad, M. Abd Almuhsan, Evaluation of impairment mitigations for optical fiber communications using dispersion compensation techniques. Rafidain J. Eng. Sci 1(1), 81–92 (2023)

Article  Google Scholar 

J. Ahmad, Z. Mustafa, J. Habib, Analyzing dispersive optical solitons in nonlinear models using an analytical technique and its applications. Opt. Quant. Electron. 56(1), 77 (2024)

Article  ADS  Google Scholar 

J. Ahmad, S. Rani, N.B. Turki, N.A. Shah, Novel resonant multi-soliton solutions of time fractional coupled nonlinear Schrödinger equation in optical fiber via an analytical method. Results Phys. 52, 106761 (2023)

Article  Google Scholar 

J. Ahmad, Z. Mustafa, N.B. Turki, N.A. Shah, Solitary wave structures for the stochastic Nizhnik–Novikov–Veselov system via modified generalized rational exponential function method. Results Phys. 52, 106776 (2023)

Article  Google Scholar 

M.M. Khater, Horizontal stratification of fluids and the behavior of long waves. Eur. Phys. J. Plus 138(8), 715 (2023)

Article  Google Scholar 

M.M. Khater, Abundant and accurate computational wave structures of the nonlinear fractional biological population model. Int. J. Mod. Phys. B 37(18), 2350176 (2023)

Article  ADS  Google Scholar 

M.M. Khater, Computational simulations of propagation of a tsunami wave across the ocean. Chaos Solit. Fractals 174, 113806 (2023)

Article  MathSciNet  Google Scholar 

M.M. Khater, Advancements in computational techniques for precise solitary wave solutions in the \((1+1)\)-dimensional Mikhailov–Novikov–Wang equation. Int. J. Theor. Phys. 62(7), 152 (2023)

Article  MathSciNet  Google Scholar 

M.M. Khater, In solid physics equations, accurate and novel soliton wave structures for heating a single crystal of sodium fluoride. Int. J. Mod. Phys. B 37(07), 2350068 (2023)

Article  ADS  Google Scholar 

M.M. Khater, Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers. Chaos Solit. Fractals 167, 113098 (2023)

Article  MathSciNet  Google Scholar 

M.M. Khater, Physics of crystal lattices and plasma; analytical and numerical simulations of the Gilson–Pickering equation. Results Phys. 44, 106193 (2023)

Article  Google Scholar 

M.M. Khater, Hybrid accurate simulations for constructing some novel analytical and numerical solutions of three-order GNLS equation. Int. J. Geom. Methods Mod. Phys. 20(09), 2350159 (2023)

Article  MathSciNet  Google Scholar 

K.S. Al-Ghafri, E.V. Krishnan, A. Biswas, Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation. J. Eur. Opt. Soc. Rapid Publ. 18(2), 9 (2022)

Article  Google Scholar 

S.U. Rehman, J. Ahmad, Diverse optical solitons to nonlinear perturbed Schrödinger equation with quadratic–cubic nonlinearity via two efficient approaches. Phys. Scr. 98(3), 035216 (2023)

Article  ADS  Google Scholar 

X. Lu, Y. Zhou, D. He, F. Zheng, K. Tang, J. Tang, A novel two-variable optimization algorithm of TCA for the design of face gear drives. Mech. Mach. Theory 175, 104960 (2022)

Article  Google Scholar 

M.M. Khater, Soliton propagation under diffusive and nonlinear effects in physical systems; \((1+1)\)-dimensional MNW integrable equation. Phys. Lett. A 480, 128945 (2023)

Article  MathSciNet  Google Scholar 

M.M. Khater, Characterizing shallow water waves in channels with variable width and depth; computational and numerical simulations. Chaos Solit. Fractals 173, 113652 (2023)

Article  MathSciNet  Google Scholar 

M.M. Khater, Novel computational simulation of the propagation of pulses in optical fibers regarding the dispersion effect. Int. J. Mod. Phys. B 37(09), 2350083 (2023)

Article  ADS  Google Scholar 

M.M. Khater, A hybrid analytical and numerical analysis of ultra-short pulse phase shifts. Chaos Solit. Fractals 169, 113232 (2023)

Article  MathSciNet  Google Scholar 

M.M. Khater, Prorogation of waves in shallow water through unidirectional Dullin–Gottwald–Holm model; computational simulations. Int. J. Mod. Phys. B 37(08), 2350071 (2023)

Article  ADS