T.A. Alrebdi, N. Raza, S. Arshed, A.-H. Abdel-Aty, New solitary wave patterns of Fokas–System arising in monomode fiber communication systems. Opt. Quantum Electron. 54, 1–19 (2022)

Article  Google Scholar 

E. Hussain, S. Malik, A. Yadav, S.A.A. Shah, M.A. Bin Iqbal, A.E. Ragab, H.M.A. Mahmoud, Qualitative analysis and soliton solutions of nonlinear extended quantum Zakharov–Kuznetsov equation. Nonlinear Dyn. 112, 19295–19310 (2024)

Article  Google Scholar 

E. Hussain, S. Malik, A. Yadav, S.A.A. Shah, M.A. Bin Iqbal, A.E. Ragab, H.M.A. Mahmoud, Qualitative analysis and soliton solutions of nonlinear extended quantum Zakharov–Kuznetsov equation. Nonlinear Dyn. 112, 19295–19310 (2024)

Article  Google Scholar 

H.M. Baskonus, M. Younis, M. Bilal, U. Younas, W. Gao. Shafqat-ur-Rehman, Modulation instability analysis and perturbed optical soliton and other solutions to the Gerdjikov–Ivanov equation in nonlinear optics. Mod. Phys. Lett. B. 34, 2050404 (2020)

Article  ADS  MathSciNet  Google Scholar 

U. Younas, J. Ren, L. Akinyemi, H. Rezazadeh, On the multiple explicit exact solutions to the double-chain DNA dynamical system. Math. Methods Appl. Sci. 46, 6309–6323 (2023)

Article  ADS  MathSciNet  Google Scholar 

A.A. Al Qarni, A.M. Bodaqah, A. Mohammed, A.A. Alshaery, H.O. Bakodah, A. Biswas, Cubic–quartic optical solitons for Lakshmanan–Porsezian–Daniel equation by the improved Adomian decomposition scheme. Ukr. J. Phys. Opt. 23, 228–242 (2022)

Article  Google Scholar 

Q. Zhou, Y. Zhong, M. Mirzazadeh, A.H. Bhrawy, E. Zerrad, A. Biswas, Thirring combo-solitons with cubic nonlinearity and spatio-temporal dispersion. Waves Random Complex Media 26, 204–210 (2016)

Article  ADS  MathSciNet  Google Scholar 

M. Shakeel, N. Abbas, M.J.U. Rehman, F.S. Alshammari, A. Al-Yaari, Lie symmetry analysis and solitary wave solution of biofilm model Allen–Cahn. Sci. Rep. 14, 12844 (2024)

Article  ADS  Google Scholar 

U. Younas, T.A. Sulaiman, J. Ren, Dynamics of optical pulses in dual-core optical fibers modelled by decoupled nonlinear Schrodinger equation via GERF and NEDA techniques. Opt. Quantum Electron. 54, 738 (2022)

Article  Google Scholar 

S.Z. Majid, M.I. Asjad, W.A. Faridi, Solitary travelling wave profiles to the nonlinear generalized Calogero–Bogoyavlenskii–Schiff equation and dynamical assessment. Eur. Phys. J. Plus. 138, 1040 (2023)

Article  Google Scholar 

H. Triki, A. Biswas, D. Milović, M. Belić, Chirped femtosecond pulses in the higher-order nonlinear Schrödinger equation with non-Kerr nonlinear terms and cubic–quintic–septic nonlinearities. Opt. Commun. 366, 362–369 (2016)

Article  ADS  Google Scholar 

K. Hosseini, E. Hincal, K. Sadri, F. Rabiei, M. Ilie, A. Akgül, M.S. Osman, The positive multi-complexiton solution to a generalized Kadomtsev-Petviashvili equation. Partial Differ. Equ. Appl. Math. 9, 100647 (2024)

Article  Google Scholar 

A.R. Seadawy, M. Iqbal, Dispersive propagation of optical solitions and solitary wave solutions of Kundu–Eckhaus dynamical equation via modified mathematical method. Appl. Math. J. Chin. Univ. 38, 16–26 (2023)

Article  MathSciNet  Google Scholar 

M. Iqbal, A.R. Seadawy, D. Lu, Z. Zhang, Multiple optical soliton solutions for wave propagation in nonlinear low-pass electrical transmission lines under analytical approach. Opt. Quantum Electron. 56, 35 (2024)

Article  Google Scholar 

E.M.E. Zayed, R.M.A. Shohib, A.-G. Al-Nowehy, Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method. Comput. Math. Appl. 76, 2286–2303 (2018)

Article  MathSciNet  Google Scholar 

K. Hosseini, M. Matinfar, M. Mirzazadeh, A (3+ 1)-dimensional resonant nonlinear Schrödinger equation and its Jacobi elliptic and exponential function solutions. Optik (Stuttg) 207, 164458 (2020)

Article  Google Scholar 

O. González-Gaxiola, A. Biswas, W-shaped optical solitons of Chen–Lee–Liu equation by Laplace–Adomian decomposition method. Opt. Quantum Electron. 50, 1–11 (2018)

Article  Google Scholar 

D. Kumar, M. Kaplan, Application of the modified Kudryashov method to the generalized Schrödinger–Boussinesq equations. Opt. Quantum Electron. 50, 1–14 (2018)

Google Scholar 

G. Ma, J. Zhao, Q. Zhou, A. Biswas, W. Liu, Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation. Nonlinear Dyn. 106, 2479–2484 (2021)

Article  Google Scholar 

W.-J. Liu, B. Tian, H.-Q. Zhang, L.-L. Li, Y.-S. Xue, Soliton interaction in the higher-order nonlinear Schrödinger equation investigated with Hirota’s bilinear method. Phys. Rev. E 77, 66605 (2008)

Article  ADS  MathSciNet  Google Scholar 

S. Malik, S. Kumar, A. Biswas, Y. Yıldırım, L. Moraru, S. Moldovanu, C. Iticescu, S.P. Moshokoa, D. Bibicu, A. Alotaibi, Gap solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index and cubic–quartic dispersive reflectivity by lie symmetry. Symmetry (Basel) 15, 963 (2023)

Article  ADS  Google Scholar 

A. Kukkar, S. Kumar, S. Malik, M.A.S. Murad, A.H. Arnous, A. Biswas, Y. Yildirim, A.S. Alshomrani, Lie symmetry analysis of cubic-quartic optical solitons having cubic–quintic–septic–nonic form of self-phase modulation structure. J. Opt. (2024). https://doi.org/10.1007/s12596-024-01922-x

Article  Google Scholar 

A.H. Arnous, A. Biswas, M. Ekici, A.K. Alzahrani, M.R. Belic, Optical solitons and conservation laws of Kudryashov’s equation with improved modified extended tanh-function. Optik (Stuttg) 225, 165406 (2021)

Article  Google Scholar 

S.K. Dubey, R. Karwasra, S. Malik, S. Kumar, N.A. Kudryashov, Bifurication analysis, chaotic behaviors and optical solitons with cubic–quintic–septic–nonic nonlinearity. Nonlinear Dyn. (2024). https://doi.org/10.1007/s11071-024-10140-w

Article  Google Scholar 

R. Radha, M. Lakshmanan, Singularity structure analysis and bilinear form of a (2+ 1) dimensional non-linear Schrodinger (NLS) equation. Inverse Probl. 10, L29 (1994)

Article  ADS  MathSciNet  Google Scholar 

A.R. Seadawy, N. Cheemaa, A. Biswas, Optical dromions and domain walls in (2+ 1)-dimensional coupled system. Optik (Stuttg) 227, 165669 (2021)

Article  Google Scholar 

K. Hosseini, K. Sadri, M. Mirzazadeh, S. Salahshour, An integrable (2+ 1)-dimensional nonlinear Schrödinger system and its optical soliton solutions. Optik (Stuttg) 229, 166247 (2021)

Article  Google Scholar 

L. Akinyemi, M. Şenol, H. Rezazadeh, H. Ahmad, H. Wang, Abundant optical soliton solutions for an integrable (2 + 1)-dimensional nonlinear conformable Schrödinger system. Results Phys. 25, 104177 (2021)

Article  Google Scholar 

L. Wang, Z. Luan, Q. Zhou, A. Biswas, A.K. Alzahrani, W. Liu, Bright soliton solutions of the (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term. Nonlinear Dyn. 104, 2613–2620 (2021)

Article  Google Scholar 

M.A.S. Murad, F.M. Omar, Optical solitons, dynamics of bifurcation, and chaos in the generalized integrable (2+ 1)-dimensional nonlinear conformable Schrödinger equations using a new Kudryashov technique. J. Comput. Appl. Math. 457, 116298 (2025)

Article  Google Scholar 

N.A. Kudryashov, Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. Appl. Math. Comput. 371, 124972 (2020)

MathSciNet  Google Scholar 

N.A. Kudryashov, Implicit solitary waves for one of the generalized nonlinear Schrödinger equations. Mathematics 9, 3024 (2021)

Article  Google Scholar 

D. Zhao, M. Luo, General conformable fractional derivative and its physical interpretation. Calcolo 54, 903–917 (2017)

Article  MathSciNet  Google Scholar 

T. Abdeljawad, On conformable fractional calculus. J. Comput. Appl. Math. 279, 57–66 (2015)

Article  MathSciNet  Google Scholar 

A. Kajouni, A. Chafiki, K. Hilal, M. Oukessou, A new conformable fractional derivative and applications. Int. J. Differ. Equ. 2021, 6245435 (2021)

MathSciNet  Google Scholar