Robot điều khiển bằng xung: chuyển động qua các đống lũ và sóng rogue khác biệt

Ahmad, A., Seadawy, A.R., Ahmed, S., Rizvi, S.T.: Dynamical forms of breathers, rogue waves, lump and their interactions for Schrödinger-Hirota equation. Optic. Quantum Electr. 55(8), 730 (2023) 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. Res. Phys. 25, 104160 (2021) Ahmed, S., Seadawy, A.R., Rizvi, S.T., Ahmad, A.: Study of dissipative NLSE for dark and bright, multiwave, breather and M-shaped solitons along with some interactions in monochromatic waves. Optic. Quantum Electr. 54(12), 782 (2022) Ahmed, S., Seadawy, A.R., Rizvi, S.T.: Study of breathers, rogue waves and lump solutions for the nonlinear chains of atoms. Optic. Quantum Electr. 54(5), 1–28 (2022) Ahmed, S., Seadawy, A.R., Rizvi, S.T., Mubaraki, A.M.: Homoclinic breathers and soliton propagations for the nonlinear (3+ 1)-dimensional Geng dynamical equation. Res. Phys. 52, 106822 (2023) Ahmed, S., Seadawy, A.R., Rizvi, S.T., Raza, U.: Multi-Peak and Propagation Behavior of M-Shape Solitons in (2+ 1)-Dimensional Integrable Schwarz-Korteweg-de Vries Problem. Fract. Fract. 7(10), 709 (2023) Ahmed, S., Seadawy, A. R., Rizvi, S. T., Hameed, M.: Multi-peak and rational soliton propagations for (3+ 1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup Kupershmidt model in fluid mechanics, ocean dynamics and plasma physics. Int. J. Geometr. Methods Mod. Phys., 2350158 (2023) Akram, U., Seadawy, A.R., Rizvi, S.T.R., Younis, M., Althobaiti, S., Sayed, S.: Traveling wave solutions for the fractional Wazwaz-Benjamin-Bona-Mahony model in arising shallow water waves. Res. Phys. 20, 103725 (2021) Ali, K., Seadawy, A.R., Ahmed, S., Rizvi, S.T.: Discussion on rational solutions for Nematicons in liquid crystals with Kerr Law. Chaos Solit. Fract. 160, 112218 (2022) Bertoldi, K., Vitelli, V., Christensen, J., Van Hecke, M.: Flexible mechanical metamaterials. Nat. Rev. Mater. 2(11), 1–11 (2017) 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. Res. Phys. 23, 103959 (2021) 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 (2021) Deng, B., Raney, J.R., Tournat, V., Bertoldi, K.: Elastic vector solitons in soft architected materials. Phys. Rev. Lett. 118(20), 204102 (2017) Deng, B., Wang, P., He, Q., Tournat, V., Bertoldi, K.: Metamaterials with amplitude gaps for elastic solitons. Nat. Commun. 9(1), 3410 (2018) Deng, B., Chen, L., Wei, D., Tournat, V., Bertoldi, K.: Pulse-driven robot: motion via solitary waves. Sci. Adv. 6(18), 1166 (2020) Edelman, M.: Comments on a note on stability of fractional logistic maps. Appl. Math. Lett. 125, 107787 (2022) 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. Diff. Equ. 1, 1–15 (2020) Hietarinta, J. Introduction to the Hirota bilinear method: Integrability of Nonlinear Systems, Springer, Berlin, Heidelberg, 95–103 (1997) Holmes, D.P.: Elasticity and stability of shape-shifting structures. Curr. Opin. Colloid Interf. Sci. 40, 118–137 (2019) Jin-Ming, Z., Yao-Ming, Z.: The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq-Burgers equation. Chinese Phys. B. 20(1), 010205 (2011) Li, X.L., Guo, R.: Interactions of Localized Wave Structures on Periodic Backgrounds for the Coupled Lakshmanan-Porsezian-Daniel Equations in Birefringent Optical Fibers. Annalen der Physik 535(1), 2200472 (2023) Liu, Y., Wen, X.Y., Wang, D.S.: The N-soliton solution and localized wave interaction solutions of the \((2+ 1)\)-dimensional generalized Hirota-Satsuma equation. Comput. Math. Appl. 77(4), 947–966 (2019) 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) Ma, Y.L.: N-solitons, breathers and rogue waves for a generalized Boussinesq equation. Int. J. Comput. Math. 97(8), 1648–1661 (2020) Osman, M.S.: Multi-soliton rational solutions for some nonlinear evolution equations. Open Phys. 14(1), 26–36 (2016) Raney, J.R., Nadkarni, N., Daraio, C., Kochmann, D.M., Lewis, J.A., Bertoldi, K.: Stable propagation of mechanical signals in soft media using stored elastic energy. Proc. Natl. Acad. Sci. 113(35), 9722–9727 (2016) Rizvi, S. T. R., Ahmed, S.: Resonant collisions among X-type, multi-lump, generalized breathers, N-solitons and rogue waves in plasma, Optik, 171390 (2023) Rizvi, S. T., Seadawy, A. R., Ahmed, S., & Ashraf, R.: Lax pair, Darboux transformation, Weierstrass-Jacobi elliptic and generalized breathers along with soliton solutions for Benjamin-Bona-Mahony equation. Int. J. Mod. Phys. B, 2350233 (2023) Rizvi, S. T., Seadawy, A. R., Farah, N., Ahmed, S.: Transformation and interactions among solitons in metamaterials with quadratic-cubic nonlinearity and inter-model dispersion. Int. J. Mod. Phys. B, 2350087 (2022) Rizvi, S.T.R., Seadawy, A.R., Younis, M., Ali, I., Althobaiti, S., Mahmoud, S.F.: Soliton solutions, Painleve analysis and conservation laws for a nonlinear evolution equation. Res. Phys. 23, 103999 (2021a) Rizvi, S.T.R., Seadawy, A.R., Younis, M., Iqbal, S., Althobaiti, S., El-Shehawi, A.M.: Various optical soliton for a weak fractional nonlinear Schrödinger equation with parabolic law. Res. Phys. 23, 103998 (2021b) Rizvi, S.T., Seadawy, A.R., Ahmed, S., Ali, K.: Einstein’s vacuum field equation: lumps, manifold periodic, generalized breathers, interactions and rogue wave solutions. Optic. Quantum Electr. 55(2), 1–25 (2023) Rizvi, S. T., Seadawy, A. R., Ahmed, S., Ashraf, F.: Novel rational solitons and generalized breathers for (1+ 1)-dimensional longitudinal wave equation. Int. J. Mod. Phys. B, 2350269 (2023) Seadawy, A.R., Bilal, M., Younis, M., Rizvi, S.T.R., Althobaiti, S., Makhlouf, M.M.: Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique. Chaos Solit. Fract. 144, 110669 (2021a) 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. Script. 96(4), 045202 (2021b) 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 (2021) 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. Optic. Quantum Electr. 53(4), 1–15 (2021) 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. Scrip. 96(4), 045202 (2021) 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 Solit. Frac. 160, 112258 (2022a) 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. Geomet. Phys. 176, 104507 (2022b) 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 Solit. Fract. 161, 112307 (2022c) 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 Fract. 161, 112326 (2022d) Seadawy, A.R., Rizvi, S.T., Ahmed, S.: Solitons collision and multi-peak solutions for a new (3+ 1)-dimensional NLSE describing pulse propagation in optical fibers. Optic. Quantum Electr. 55(5), 467 (2023) Seadawy, A.R., Rizvi, S.T., Ahmed, S.: Analytical solutions along with grey-black optical solitons under the influence of self-steepening effect and third order dispersion. Optic. Quantum Electr. 55(3), 288 (2023) Seadawy, A.R., Rizvi, S.T., Ahmed, S., Batool, T.: Propagation of W-shaped and M-shaped solitons with multi-peak interaction for ultrashort light pulse in fibers. Optic. Quantum Electr. 55(3), 1–23 (2023a) Seadawy, A.R., Ahmed, S., Rizvi, S.T., Nazar, K.: Applications for mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation in water wave flumes and optical fibers. Optic. Quantum Electr. 55(1), 34 (2023b) Seaway, A. R., Rizvi, S. T., Ahmad, A., Ahmed, S.: Multiwave, rogue wave, periodic wave, periodic cross-lump wave, periodic cross-kink wave, lump soliton, breather lump, homoclinic breather, periodic cross-kink, M-shaped rational solutions and their interactions for the Degasperis-Procesi equation. Int. J. Mod. Phys. B, (2023) 2350172 Shen, S., Yang, Z., Li, X., Zhang, S.: Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media. Commun. Nonlinear Sci. Num. Simul. 103, 106005 (2021) Shen, S., Yang, Z.J., Pang, Z.G., Ge, Y.R.: The complex-valued astigmatic cosine-Gaussian soliton solution of the nonlocal nonlinear Schrödinger equation and its transmission characteristics. Appl. Math. Lett. 125, 107755 (2022) Song, L.M., Yang, Z.J., Li, X.L., Zhang, S.M.: Coherent superposition propagation of Laguerre-Gaussian and Hermite-Gaussian solitons. Appl. Math. Lett. 102, 106114 (2020) 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. Optic. Quant. Electr. 53(5), 1–14 (2021) Yi, H., Yao, Y., Zhang, X., & Ma, G.: High-order effect on the transmission of two optical solitons. Chinese Physics B, 32(10), 100509 (2023) Younas, U., Younis, M., Seadawy, A.R., Rizvi, S.T.R., Althobaiti, S., Sayed, S.: Diverse exact solutions for modified nonlinear Schrödinger equation with conformable fractional derivative. Res. Phys. 20, 103766 (2021) Younis, M., Seadawy, A. R., Bilal, M., Rizvi, S. T. R., Althobaiti, S., Alkafafy, M.: Nonlinear dynamical wave structures to the Date-Jimbo-Kashiwara-Miwa equation and its modulation instability analysis. Mod. Phys. Lett. B, 2150300 (2021a) 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. 1–8 (2021b)