Solitons and other wave solutions for (2+1)-dimensional perturbed nonlinear Schrödinger equation by modified extended direct algebraic method

E.M.E. Zayed, R.M.A. Shohib, M.E.M. Alngar, A. Biswas, M. Ekici, S. Khan, A.K. Alzahrani, M.R. Belic, Optical solitons and conservation laws associated with Kudryashov’s sextic power-law nonlinearity of refractive index. Ukr. J. Phys. Opt. 22(1), 38–49 (2021)

Article  Google Scholar 

A.R. Adem, B.P. Ntsime, A. Biswas, S. Khan, A.K. Alzahrani, M.R. Beli, Stationary optical solitons with nonlinear chromatic dispersion for Lakshmanan-Porsezian-Daniel model having Kerr law of nonlinear refractive index. Ukr. J. Phys. Opt. 22(2), 83–86 (2021)

Article  Google Scholar 

A. Biswas, J. Edoki, P. Guggilla, S. Khan, A.K. Alzahrani, M.R. Belic, Cubic-quartic optical soliton perturbation with Lakshmanan-Porsezian-Daniel model by semi-inverse variational principle. Ukr. J. Phys. Opt. 22(3), 123–127 (2021)

Article  Google Scholar 

Y. Yildirim, A. Biswas, P. Guggilla, S. Khan, H.M. Alshehri, M.R. Belić, 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 

Y. Yildirim, A. Biswas, A. Dakova-Mollova, P. Guggilla, S. Khan, H.M. Alshehri, M.R. Belić, Cubic-quartic optical solitons having quadratic-cubic nonlinearity by sine-Gordon equation approach. Ukr. J. Phys. Opt. 22(4), 255–269 (2021)

Article  Google Scholar 

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

Article  Google Scholar 

Y. Yildirim, A. Biswas, S. Khan, M.F. Mahmood, H.M. Alshehri, Highly dispersive optical soliton perturbation with Kudryashov’s sextic-power law of nonlinear refractive index. Ukr. J. Phys. Opt. 23(1), 24–29 (2022)

Article  Google Scholar 

M.H. Ali, H.M. El-Owaidy, H.M. Ahmed, A.A. El-Deeb, I. Samir, Optical solitons for fourth order nonlinear Schrödinger’s equation with cubic-quintic-septic-nonic nonlinearity using improved modified extended tanh-function scheme. Ain Shams Eng. J. 2023, 102413 (2023)

Article  Google Scholar 

M.H. Ali, H.M. El-Owaidy, H.M. Ahmed, A.A. El-Deeb, I. Samir, Optical solitons and complexitons for generalized Schrödinger-Hirota model by the modified extended direct algebraic method. Opt. Quantum Electron. 55, 675 (2023)

Article  Google Scholar 

O. González-Gaxiola, A. Biswas, Y. Yıldırım, 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. Al Qarni, A.M. Bodaqah, A.S.H.F. Mohammed, 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(4), 228–242 (2022)

Article  Google Scholar 

A. Al Qarni, A.M. Bodaqah, A.S.H.F. Mohammed, A. Alshaery, H.O. Bakodah, A. Biswas, Dark and singular cubic-quartic optical solitons with Lakshmanan-Porsezian-Daniel equation by the improved Adomian decomposition scheme. Ukr. J. Phys. Opt. 24(1), 46–61 (2023)

Article  Google Scholar 

A.H. Arnous, A. Biswas, Y. Yildirim, L. Moraru, M. Aphane, S.P. Moshokoa, H.M. Alshehri, Quiescent optical solitons with Kudryashov’s generalized quintuple-power and nonlocal nonlinearity having nonlinear chromatic dispersion: generalized temporal evolution. Ukr. J. Phys. Opt. 24(2), 105–113 (2023)

Article  Google Scholar 

A. Kukkar, S. Kumar, S. Malik, A. Biswas, Y. Yildirim, S.P. Moshokoa, S. Khan, A.A. Alghamdi, Optical solitons for the concatenation model with Kurdryashov‘s approaches. Ukr. J. Phys. Opt. 24(2), 155–160 (2023)

Article  Google Scholar 

S. Malik, M. Sajjad Hashemi, S. Kumar, H. Rezazadeh, W. Mahmoud, M.S. Osman, Application of new Kudryashov method to various nonlinear partial differential equations. Opt. Quantum Electron. 55, 8 (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), 185–192 (2023)

Article  Google Scholar 

Y.-M. Chu, M. Inc, M.S. Hashemi, S. Eshaghi, Analytical treatment of regularized Prabhakar fractional differential equations by invariant subspaces. Comput. Appl. Math. 41, 271 (2022)

Article  MathSciNet  MATH  Google Scholar 

F.-L. Xia, F. Jarad, M.S. Hashemi, M.B. Riaz, A reduction technique to solve the generalized nonlinear dispersive mK(m, n) equation with new local derivative. Results Phys. 38, 105512 (2022)

Article  Google Scholar 

A. Akbulut, M. Mirzazadeh, M.S. Hashemi, K. Hosseini, S. Salahshour, C. Park, Triki-Biswas model: Its symmetry reduction, Nucci’s reduction and conservation law. Int. J. Mod. Phys. 7(37), 2350063 (2023)

Article  Google Scholar 

M. Mirzazadeh, A. Sharif, M.S. Hashemi, A. Akgül, S.M. El Din, Optical solitons with an extended (3+1)-dimensional nonlinear conformable Schrödinger equation including cubic-quintic nonlinearity. Results Phys. 49, 106521 (2023)

Article  Google Scholar 

A.R. Seadawy, H.M. Ahmed, W.B. Rabie, A. Biswas, Chirp-free optical solitons in fiber Bragg gratings with dispersive reflectivity having polynomial law of nonlinearity. Optik 225, 165681 (2021)

Article  ADS  Google Scholar 

I. Samir, N. Badra, A.R. Seadawy, H.M. Ahmed, A.H. Arnous, Exact wave solutions of the fourth order non-linear partial differential equation of optical fiber pulses by using different methods. Optik 230, 166313 (2021)

Article  ADS  Google Scholar 

M.M.A. El-Sheikh, H.M. Ahmed, A.H. Arnous, W.B. Rabie, Optical solitons and other solutions in birefringent fibers with Biswas-Arshed equations by Jacobi elliptic function approach. Optik 202, 163546 (2019)

Article  ADS  Google Scholar 

G. Wang, A.H. Kara, A. Biswas, P. Guggilla, A.K. Alzahrani, M.R. Belic, Highly dispersive optical solitons in polarization-preserving fibers with Kerr law nonlinearity by Lie symmetry. Phys. Lett. A 421, 127768 (2022)

Article  MathSciNet  MATH  Google Scholar 

Q. Zhou, Y. Sun, H. Triki, Y. Zhong, Z. Zeng, M. Mirzazadeh, Study on propagation properties of one-soliton in a multimode fiber with higher-order effects. Results Phys. 41, 105898 (2022)

Article  Google Scholar 

N.A. Kudryashov, Method for finding optical solitons of generalized nonlinear Schrödinger equations. Optik 261, 169163 (2022)

Article  ADS  Google Scholar 

M. Wang, Y. Chen, Dynamic behaviors of general N-solitons for the nonlocal generalized nonlinear Schrödinger equation. Nonlinear Dyn. 104(3), 2621–2638 (2021)

Article  Google Scholar 

A. Safaei Bezgabadi, M.A. Bolorizadeh, Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended sinh-Gordon equation expansion method. Results Phys. 30, 104852 (2021)

Article  Google Scholar 

M.Z. Liu, X.-Q. Cao, X.-Q. Zhu, B.-N. Liu, K.-C. Peng, Discussed the variational principles and solitary solutions of generalized nonlinear Schrödinger equation in the Ocean. J. Appl. Comput. Mech. 7(3), 1639–1648 (2021)

Google Scholar 

N. Raza, A. Zubair, Optical dark and singular solitons of generalized nonlinear Schrödinger’s equation with anti-cubic law of nonlinearity. Mod. Phys. Lett. B 33(13), 1950158 (2019)

Article  ADS  Google Scholar 

X. Li, Y. Gong, L. Zhang, Two novel classes of linear high-order structure-preserving schemes for the generalized nonlinear Schrödinger equation. App. Math. Lett. 104, 106273 (2020)

Article  MATH  Google Scholar 

N. Savaissou, B. Gambo, H. Rezazadeh, A. Bekir, S.Y. Doka, Exact optical solitons to the perturbed nonlinear Schrödinger equation with dual-power law of nonlinearity. Opt. Quantum Electron. 52, 1–16 (2020)

Article  Google Scholar 

A. Majid Wazwaz, Bright and dark optical solitons of the (2+1)-dimensional perturbed nonlinear Schrödinger equation in nonlinear optical fibers. Optik 251, 168334 (2022)

Article  ADS  Google Scholar 

H.Y. Martínez, A. Pashrashid, J.F.G. Aguilar, L. Akinyemi, H. Rezazadeh, The novel soliton solutions for the conformable perturbed nonlinear Schrödinger equation. Mod. Phys. Lett. B 36(08), 2150597 (2022)

Article  Google Scholar 

M.S. Osman, H. Almusawa, K.U. Tariq, S. Anwar, S. Kumar, M. Younis, W.-X. Ma, On global behavior for complex soliton solutions of the perturbed nonlinear Schrödinger equation in nonlinear optical fibers. Ocean Eng. 7(5), 431–443 (2022)

Article  Google Scholar 

A. Zafar, M. Raheel, M.Q. Zafar, K.S. Nisar, M.S. Osman, R.N. Mohamed, A. Elfasakhany, Dynamics of different nonlinearities to the perturbed nonlinear Schrödinger equation via solitary wave solutions with numerical simulation. Fractal Fract. 5(4), 213 (2021)

Article  Google Scholar 

K.K. Ali, S. Tarla, M.R. Ali, A. Yusu, Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation. Results Phys. 45, 106255 (2023)

Article  Google Scholar 

I. Samir, N. Badra, H.M. Ahmed, A.H. Arnous, Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method. Optik 102, 105945 (2021)

MathSciNet  MATH  Google Scholar 

H.M. Ahmed, W.B. Rabie, Structure of optical solitons in magneto-optic waveguides with dual-power law nonlinearity using modified extended direct algebraic method. Opt. Quantum Electron. 53(8), 438 (2021)

Article  Google Scholar 

H.M. Ahmed, W.B. Rabie, Optical solitons for multiple-core couplers with polynomial law of nonlinearity using the modified extended direct algebraic method. Optik 258, 168848 (2022)

Article  ADS  Google Scholar 

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