Top

Optical and Quantum Electronics

Published in:

01-01-2023

Applications for mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation in water wave flumes and optical fibers

Authors: Aly R. Seadawy, Sarfaraz Ahmed, Syed T. R. Rizvi, Kashif Nazar

Published in: Optical and Quantum Electronics | Issue 1/2023

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

In this work, by applying the symbolic computation with ansatz functions approach and logarithmic transformation, we investigate the analytical rational solitons of the mixed Chen–Lee–Liu derivative nonlinear Schrödinger-equation. We acquire two categories of M-shaped rational solutions and their dynamics are revealed in figures by choosing the proper vales of concerned parameters. Moreover two types of interaction of M-shaped rational solutions with kink wave are computed. Furthermore we evaluate multiwaves solutions, Homoclinic breather, kink cross-rational solutions and periodic cross-rational solutions for governing model. We also investigate the stability property of attained solutions and present in the form of table.

previous article A proposal for a Giga Pascal pressure sensor using one dimensional photonic waveguide at 850 /1310/1550 nm signal

next article Dynamical behaviours and fractional alphabetical-exotic solitons in a coupled nonlinear electrical transmission lattice including wave obliqueness

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Ahmed, I., Seadawy, A.R., Lu, D.: Kinky breathers, W-shaped and multi-peak solitons interaction in \((2+ 1)\)-dimensional nonlinear Schrödinger equation with Kerr law of nonlinearity. Eur. Phys. J. Plus 134(3), 1–10 (2019a)

Ahmed, I., Seadawy, A.R., Lu, D.: \(M\)-shaped rational solitons and their interaction with kink waves in the Fokas–Lenells equation. Physica Scr. 94, 055205 (2019b)ADS

Ahmed, S., Ashraf, R., Seadawy, A.R., Rizvi, S.T.R., Younis, M., Althobaiti, A., El-Shehawi, A.M.: Lump, multi-wave, kinky breathers, interactional solutions and stability analysis for general \((2+ 1)\)-rth dispersionless Dym equation. Results Phys. 25, 104160 (2021)

Ahmed, S., Seadawy, A.R., Rizvi, S.T.: Study of breathers, rogue waves and lump solutions for the nonlinear chains of atoms. Optical Q. Electron. 54(5), 1–28 (2022)

Ali, I., Seadawy, A.R., Rizvi, S.T.R., Younis, M., Ali, K.: Conserved quantities along with Painleve analysis and Optical solitons for the nonlinear dynamics of Heisenberg ferromagnetic spin chains model. Int. J. Mod. Phys. B 34(30), 2050283 (2020)MATHADS

Ali, K., Seadawy, A.R., Ahmed, S., Rizvi, S.T.: Discussion on rational solutions for Nematicons in liquid crystals with Kerr Law. Chaos Solitons Fractals 160, 112218 (2022)

Arshad, M., Seadawy, A.R., Dianchen, L.: Muhammad Shoaib Saleem, elliptic function solutions, modulation instability and optical solitons analysis of the paraxial wave dynamical model with Kerr media. Opt. Q. Electr. 53(7), 1–20 (2021)

Batool, T., Seadawy, A.R., Rizvi, S.T.R., Ali, K.: Homoclinic breather, M-shaped rational, multiwaves and their interactional solutions for fractional quadratic-cubic nonlinear Schrödinger equation. Opt. Q. Electr. 54, 844 (2022)

Bilal, M., Seadawy, A.R., Younis, M., Rizvi, S.T.R., El-Rashidy, K., Mahmoud, S.F.: Analytical wave structures in plasma physics modelled by Gilson–Pickering equation by two integration norms. Results Phys. 23, 103959 (2021a)

Bilal, M., Seadawy, A.R., Younis, M., Rizvi, S.T.R., Zahed, H.: Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis. Math. Methods Appl. Sci. 44(5), 4094–4104 (2021b)MATHADS

Chen, J., Luan, Z., Zhou, Q., Alzahrani, A.K., Biswas, A., Liu, W.: Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers. Nonlinear Dyn. 100(3), 2817–2821 (2020)

Dianchen, L.A.S., Arshad, M.: Bright-Dark optical soliton and dispersive elliptic function solutions of Unstable nonlinear Schrodinger equation and its applications. Opt. Q. Electron. 50(23), 1–10 (2018)

Fang F, Hu B, Zhang L (2020) Riemann–Hilbert method and N-soliton solutions for the mixed Chen–Lee–Liu derivative nonlinear Schrö dinger equation. arXiv:2004 03193

Ghaffar, A., Ali, A., Ahmed, S., Akram, S., Baleanu, D., Nisar, K.S.: A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order. Adv. Differ. Equ. 1, 1–15 (2020a)MATH

Hu, B., Zhang, L., Zhang, N.: On the Riemann–Hilbert problem for the mixed Chen–Lee–Liu derivative nonlinear Schrö dinger. J. Comput. Appl. Math. 390, 113393 (2021a)MATH

Hu, A., Li, M., He, J.: Dynamic of the smooth positons of the higher-order Chen–Lee–Liu equation. Nonlinear Dyn. 104(4), 4329–4338 (2021b)

Jia, H.-X., Zuo, D.-W., Li, X.-H., Xiang, X.-S.: Breather, soliton and rogue wave of a two-component derivative nonlinear Schrödinger equation. Phys. Lett. A 405, 127426 (2021)MATH

Jiang, C., Cui, J., Qian, X., Song, S.: High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation. J. Sci. Comput. 90(1), 1–27 (2022)MATH

Khater, A.H., Helal, M.A., Seadawy, A.R.: General soliton solutions of n-dimensional nonlinear Schrödinger equation. IL Nuovo Cimento 115B, 1303–1312 (2000)ADS

Khater, A.H., Callebaut, D.K., Seadawy, A.R.: General soliton solutions for nonlinear dispersive waves in convective type instabilities. Physica Scr. 74, 384–393 (2006)MATHADS

Kudryashov, N.A.: Almost general solution of the reduced higher-order nonlinear Schrödinger equation. Optik 230, 166347 (2021a)ADS

Kudryashov, N.A.: Optical solitons of the resonant nonlinear Schrödinger equation with arbitrary index. Optik 235, 166626 (2021b)ADS

Liu, Y., Li, B., Wazwaz, A.M.: Novel high-order breathers and rogue waves in the Boussinesq equation via determinants. Int. J. Mod. Phys. B 43(6), 3701–3715 (2020)MATH

Ma, G., Zhao, J., Zhou, Q., Biswas, A., Liu, W.: Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation. Nonlinear Dyn. 106(3), 2479–2484 (2021)

Manafian, J., Mohammadi Ivatloo, B., Abapour, M.: Breather wave, periodic, and cross-kink solutions to the generalized Bogoyavlensky–Konopelchenko equation. Math. Methods Appl. Sci. 43(4), 1753–1774 (2020)MATHADS

Mo, Y., Ling, L., Zeng, D.: Data-driven vector soliton solutions of coupled nonlinear Schrödinger equation using a deep learning algorithm. Phys. Lett. A 421, 127739 (2022)MATH

Ozkan, Y.S., Seadawy, A.R., Yasar, E.: On the optical solitons and local conservation laws of Chen–Lee–Liu dynamical wave equation. Optik Int. J. Light Electr. Opt. 227, 165392 (2021)

Rizvi, S.T.R., Seadawy, A.R., Ashraf, F., Younis, M., Iqbal, H., Baleanu, D.: Lump and Interaction solutions of a geophysical Korteweg–de Vries equation. Results Phys. 19, 103661 (2020)

Rizvi, S.T.R., Seadawy, A.R., Abbas, S.O., Naz, K.: New soliton molecules to couple of nonlinear models: ion sound and Langmuir waves systems. Opt. Q. Electr. 54, 852 (2022)

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

Seadawy, A.R.: The generalized nonlinear higher order of KdV equations from the higher order nonlinear Schrödinger equation and its solutions. Optik 139, 31–34 (2017)ADS

Seadawy, A.R., Rizvi, S.T.R., Ahmad, S., Younis, M., Baleanu, D.: Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation. Open Phys. 19(1), 1–10 (2021a)

Seadawy, A.R., Rizvi, S.T., Ali, I., Younis, M., Ali, K., Makhlouf, M.M., Althobaiti, A.: Conservation laws, optical molecules, modulation instability and Painlevé analysis for the Chen–Lee–Liu model. Opt. Q. Electron. 53(4), 1–15 (2021b)

Seadawy, A.R., Rehman, S.U., Younis, M., Rizvi, S.T.R., Althobaiti, S., Makhlouf, M.M.: Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer–Chree equation. Phys. Scr. 96(4), 045202 (2021c)ADS

Seadawy, A.R., Rizvi, S.T., Ashraf, M.A., Younis, M., Hanif, M.: Rational solutions and their interactions with kink and periodic waves for a nonlinear dynamical phenomenon. Int. J. Mod. Phys. B 35, 2150236 (2021d)MATHADS

Seadawy, A.R., Rizvi, S.T.R., Ali, I., Younis, M., Ali, K., Makhlouf, M.M., Althobaiti, A.: Conservation laws, optical molecules, modulation instability and Painlevé analysis for the Chen–Lee–Liu model. Opt. Q. Electr. 53, 172 (2021e)

Seadawy, A.R., Rizvi, S.T.R., Ahmed, S., Khaliq, A.: Pure-cubic nonlinear Schrödinger model with optical multi peak, homoclinic breathers, periodic-cross-kink and M-shaped solitons. Opt. Q. Electron. 54, 771 (2022a)

Seadawy, A.R., Rizvi, S.T., Ahmed, S.: Weierstrass and Jacobi elliptic, bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation. Chaos Solitons Fractals 160, 112258 (2022b)

Seadawy, A.R., Ahmed, S., Rizvi, S.T., Ali, K.: Various forms of lumps and interaction solutions to generalized Vakhnenko Parkes equation arising from high-frequency wave propagation in electromagnetic physics. J. Geom. Phys. 176, 104507 (2022c)MATH

Seadawy, A.R., Ahmed, S., Rizvi, S.T., Ali, K.: Lumps, breathers, interactions and rogue wave solutions for a stochastic gene evolution in double chain deoxyribonucleic acid system. Chaos Solitons Fractals 161, 112307 (2022d)

Seadawy, A.R., Rizvi, S.T., Ahmed, S.: Multiple lump, generalized breathers, Akhmediev breather, manifold periodic and rogue wave solutions for generalized Fitzhugh–Nagumo equation: applications in nuclear reactor theory. Chaos Solitons Fractals 161, 112326 (2022e)

Syed, T.R., Rizvi, A.R.S., Raza, U.: Chirped optical wave solutions for a nonlinear model with parabolic law and competing weakly nonlocal Nonlinearities. Opt. Q. Electr. 54, 756 (2022)

Taghizadeh, N., Mirzazadeh, M., Farahrooz, F.: Exact solutions of the nonlinear Schrödinger equation by the first integral method. J. Math. Anal. Appl. 374(2), 549–553 (2011)MATH

Tariq, K.U., Zainab, H., Seadawy, A.R., Younis, M., Rizvi, S.T.R., Abd Allah, A.M.: On some novel optical wave solutions to the paraxial M-fractional nonlinear Schrödinger dynamical equation. Opt. Q. Electron. 53(5), 1–14 (2021)

Wang, K.J., Wang, G.D.: Variational theory and new abundant solutions to the (1+ 2)-dimensional chiral nonlinear Schrödinger equation in optics. Phys. Lett. A 412, 127588 (2021)MATH

Wazwaz, A.M.: Higher dimensional nonlinear Schrödinger equations in anomalous dispersion and normal dispersive regimes: bright and dark optical solitons. Optik 222, 165327 (2020)ADS

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

Weng, W., Zhang, G., Zhang, M., Zhou, Z., Yan, Z.: Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrödinger equation with mixed boundary conditions. Physica D Nonlinear Phenom. 35, 133150 (2022)MATH

Younis, M., Younas, U., Bilal, M., Rehman, S.U., Rizvi, S.T.R.: Investigation of optical solitons with Chen–Lee–Liu equation of monomode fibers by five free parameters. Indian J. Phys. 96, 1–8 (2021)

Title: Applications for mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation in water wave flumes and optical fibers
Authors: Aly R. Seadawy
Sarfaraz Ahmed
Syed T. R. Rizvi
Kashif Nazar
Publication date: 01-01-2023
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 1/2023
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-022-04300-8

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 1/2023

Analyzing the spreading properties of vortex beam in turbulent biological tissues

Investigation on propagation properties of a new optical vortex beam: generalized Hermite-cosh-Gaussian beam

Refractive index optical sensor using gold-walled silicon nanowire

A new design for 4-bit RCA using quantum cellular automata technology

200 Gbps free-space optics data transmission using orbital angular momentum multiplexed beams and PAM-4 signals

Design and analysis of redundant optical comb for data center networks