Embedded solitons with \(\chi^{(2)}\) and \(\chi^{(3)}\) nonlinear susceptibilities having multiplicative white noise via Itô calculus. (English) Zbl 1506.35194
References:
| [1] | Fujioka, J.; Espinosa-Ceron, A.; Rodriguez, R. F., A survey of embedded solitons, Rev Mex Fis, 52, 1, 6-14 (2006) |
| [2] | Kivshar, Y. S.; Malomed, B., Dynamics of solitons in nearly integrable systems, Rev Mod Phys, 61, 763-915 (1989) |
| [3] | Deng, X. J., Periodic and solitary wave solutions in quadratic nonlinear media, Chin J Phys, 46, 5, 511-516 (2008) |
| [4] | Pal, D.; Golam, S. K.; Talukdar, B., Embedded soliton solutions: a variational study, Acta Phys Polonica A, 113, 707-712 (2008) |
| [5] | Savescu, M.; Kara, A. H.; Kumar, S.; Krishnan, E. V.; Ullah, M. Z.; Moshokoa, S. P., Embedded solitons and conservation law with \(\chi^{( 2 )}\) and \(\chi^{( 3 )}\) nonlinear susceptibilities, Acta Phys Polonica A, 131, 297-303 (2017) |
| [6] | Sonmezoglu, A.; Ekici, M.; Arnous, A. H.; Zhou, Q.; Triki, H.; Moshokoa, S. P., Embedded solitons with \(\chi^{( 2 )}\) and \(\chi^{( 3 )}\) nonlinear susceptibilities by extended trial equation method, Optik, 154, 1-9 (2018) |
| [7] | Kumar, S.; Savescu, M.; Zhou, Q.; Biswas, A.; Belic, M., Optical solitons with quadratic nonlinearity by Lie symmetry analysis, Optoelectron Adv Mater-Rapid Commun, 9, 11-2, 1347-1352 (2015) |
| [8] | Yildirim, Y.; Biswas, A.; Khan, S.; Belic, M. R., Embeded solitons with \(\chi^{( 2 )}\) and \(\chi^{( 3 )}\) nonlinear susceptibilities, Semicond Phys Q Electron Optoelectron, 24, 2, 160-165 (2021) |
| [9] | Yildirim Y, Biswas A, Ekici M, Khan S, Triki H, Moraru L et al. Embedded solitons \(\chi^{( 2 )}\) with nonlinear susceptibility. To appear in Scientia Iranica. |
| [10] | Zayed, E. M.E.; Shohib, R. M.A.; Alngar, M. E.M., Embedded solitons with quadratic \(\chi^{( 2 )}\) and cubic \(\chi^{( 3 )}\) nonlinear susceptibilities by extended auxiliary equation method, Optik, 224, Article 165602 pp. (2020) |
| [11] | Abdelrahman, M. A.E.; Mohammed, W. W.; Alesemi, M.; Albosaily, S., The effect of multiplicative noise on the exact solutions of nonlinear Schrodinger equation, AIMS Math, 6, 2970-2980 (2021) · Zbl 1525.60080 |
| [12] | Albosaily, S.; Mohammed, W. W.; Aiyashi, M. A.; Abdelrahman, A. A.E., Exact solutions of the (2+1)-dimensional stochastic chiral nonlinear Schrödinger equation, Symmetry, 12, 1874-1886 (2020) |
| [13] | Khan, S., Stochastic perturbation of optical solitons with quadratic-cubic nonlinear refractive index, Optik, 212, Article 164706 pp. (2021) |
| [14] | Mohammed, W. W.; Ahmad, H.; Hamza, A. E.; Aly, E. S.; El-Morshedy, M.; Elabbasy, E. M., The exact solutions of the stochastic Ginzburg-Landau equation, Results Phys, 23, Article 103988 pp. (2021) |
| [15] | Mohammed, W. W.; Ahmad, H.; Boulares, H.; Kheli, F.; El-Morshedy, M., Exact solutions of Hirota-Maccari system forced by multiplicative noise in the Itô sense, J Low Freq Noise: Vib Active Control (2021) |
| [16] | Mohammed, W. W.; Iqbal, N.; Ali, A.; El-Morshedy, M., Exact solutions of the stochastic new coupled Konno-Oono equation, Results Phys, 21, Article 103830 pp. (2021) |
| [17] | Mohammed, W. W.; El-Morshedy, M., The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik-Novikov-Veselov system, Math Comput Simul, 190, 192-202 (2021) · Zbl 1540.35478 |
| [18] | Mohammed, W. W.; Albosaily, S.; Iqbal, N.; El-Morshedy, M., The effect of multiplicative noise on the exact solutions of the stochastic Burger equation, Waves Random Complex Media (2021) |
| [19] | Mohammed, W. W.; Alesemi, M.; Albosaily, S.; Iqbal, N.; El-Morshedy, M., The exact solutions of stochastic fractional-space Kuramoto-Sivashinsky equation by using \(( G^\prime / G )\)-expansion method, Mathematic, 9, 2712 (2021) |
| [20] | Zayed, E. M.E.; Shohib, R. M.A.; Alngar, M. E.M.; Biswas, A.; Yildirim, Y.; Dakova, A., Optical solitons with Sasa-Sastuma model having multiplicative noise via Itô calculus, Ukrainian J Phys Opt, 23, 1, 9-14 (2022) |
| [21] | Abbagari, S.; Saliou, Y.; Houwe, A.; Akinyemi, L.; Inc, M.; Bouetoui, T. B., Modulated wave and modulation instability gain brought by the cross-phase modulation in birefringent fibers having anti-cubic nonlinearity, Phys Lett A, 442, Article 128191 pp. (2022) · Zbl 1496.81047 |
| [22] | Abbagari, S.; Houwe, A.; Akinyemi, L.; Saliou, Y.; Bouetou, T. B., Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain, Chaos, Solitons Fractals, 160, Article 112255 pp. (2022) · Zbl 1504.82063 |
| [23] | Akinyemi, L.; Mirzazadeh, M.; Hosseini, K., Solitons and other solutions of perturbed nonlinear Biswas-Milovic equation with Kudryashov’s law of refractive index’, Nonlinear Anal Model Control, 27, 3, 479-495 (2022) · Zbl 1506.35207 |
| [24] | Mirzazadeh, M.; Akbulut, A.; Tascan, F.; Akinyemi, L., A novel integration approach to study the perturbed Biswas-Milovic equation with Kudryashov’s law of refractive index, Optik, 252, Article 168529 pp. (2022) |
| [25] | Akinyemi, L.; Mirzazadeh, M.; Badri, S. A.; Hosseini, K., Dynamical solitons for the perturbated Biswas-Milovic equation with Kudryashov’s law of refractive index using the first integral method, J Modern Opt, 69, 3, 172-182 (2022) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
