TY - GEN N1 - Optica Applicata, Vol. 36, 2006, nr 4, s. 575-580 N2 - When looking for solitons in nonlinear systems, it is often useful to have a simplifying tool. One such tool is the variational method. On the other hand, in the presence of fast oscillations, the wavefunction of the system can split into two distinct parts. This is not describable by the classical variational method. Edwards et al., (J. Phys. B 38(4), 2005, pp. 363–76), introduced a hybrid variational analysis which can describe the dynamics in one selected direction more accurately. However, it remained to be seen how well this method describes the dynamics of solitons, in particular their splitting and subsequent recombining. Here we investigate an application of the hybrid variational analysis to a two dimensional system with dispersion management, where such splitting is known to occur. We conclude that indeed agreement is good. This could encourage wider use of the hybrid method. L1 - http://dbc.wroc.pl/Content/64131/optappl_3604p575.pdf M3 - artykuł L2 - http://dbc.wroc.pl/Content/64131 PY - 2006 KW - optyka KW - nonlinear optics KW - solitons C1 - Wszystkie prawa zastrzeżone (Copyright) A1 - Infeld, E. A1 - Matuszewski, M. A1 - Shino, C. A1 - Trippenbach, M. A2 - Gaj, Miron. Redakcja A2 - Wilk, Ireneusz. Redakcja PB - Oficyna Wydawnicza Politechniki Wrocławskiej C6 - Dla wszystkich w zakresie dozwolonego użytku LA - eng CY - Wrocław T1 - Can a variational approach describe pulse splitting in a dispersion managed system? UR - http://dbc.wroc.pl/dlibra/publication/edition/64131 ER - TY - GEN N1 - Optica Applicata, Vol. 33, 2003, nr 2-3, s. 539-546 L1 - http://dbc.wroc.pl/Content/40845/PDF/optappl_3323p539.pdf M3 - artykuł L2 - http://dbc.wroc.pl/Content/40845 PY - 2003 KW - optyka KW - exact solutions KW - Hirota equation KW - solitons C1 - Wszystkie prawa zastrzeżone (Copyright) A1 - Shu, Jian-Jun A2 - Gaj, Miron. Redakcja A2 - Wilk, Ireneusz. Redakcja PB - Oficyna Wydawnicza Politechniki Wrocławskiej C6 - Dla wszystkich w zakresie dozwolonego użytku LA - eng CY - Wrocław T1 - Exact N-envelope-soliton solutions of the Hirota equation UR - http://dbc.wroc.pl/dlibra/publication/edition/40845 ER - TY - GEN N1 - Optica Applicata, Vol. 46, 2016, nr 1, s. 79-86 L1 - http://dbc.wroc.pl/Content/37760/PDF/optappl_4601p79.pdf M3 - artykuł L2 - http://dbc.wroc.pl/Content/37760 PY - 2016 KW - optyka KW - solitons KW - parabolic law nonlinearity KW - competing nonlinearities C1 - Wszystkie prawa zastrzeżone (Copyright) A1 - Zhou, Qin A1 - Liu, Lan A1 - Zhang, Huijuan A1 - Mirzazadeh, Mohammad A1 - Bhrawy, Ali H. A1 - Zerrad, Essaid A1 - Moshokoa, Seithuti A1 - Biswas, Anjan A2 - Urbańczyk, Wacław. Redakcja PB - Oficyna Wydawnicza Politechniki Wrocławskiej C6 - Dla wszystkich w zakresie dozwolonego użytku LA - eng CY - Wrocław ID - DOI: 10.5277/oa160107 T1 - Dark and singular optical solitons with competing nonlocal nonlinearities UR - http://dbc.wroc.pl/dlibra/publication/edition/37760 ER - TY - GEN N1 - Optica Applicata, Vol. 40, 2010, nr 4, s. 801-809 N2 - This paper studies optical solitons with linear attenuation and bandpass filters. The Kerr and power laws of nonlinearity are considered. The governing equations are integrated by the aid of He’s semi-inverse variational principle. The parameter domains are identified. L1 - http://dbc.wroc.pl/Content/58502/optappl_4004p801.pdf M3 - artykuł L2 - http://dbc.wroc.pl/Content/58502 PY - 2010 KW - optyka KW - integrable systems KW - partial differential equations KW - solitons in optical fibers KW - solitons in plasma KW - fiber optics KW - optical communications KW - pulse propagation and temporal solitons KW - Kerr effect KW - nonlinear optics C1 - Wszystkie prawa zastrzeżone (Copyright) A1 - Biswas, Anjan A1 - Wheeler, Darius A2 - Gaj, Miron. Redakcja A2 - Urbańczyk, Wacław. Redakcja PB - Oficyna Wydawnicza Politechniki Wrocławskiej C6 - Dla wszystkich w zakresie dozwolonego użytku LA - eng CY - Wrocław T1 - Optical solitons with bandwidth limited amplification in non-Kerr law media UR - http://dbc.wroc.pl/dlibra/publication/edition/58502 ER - TY - GEN N1 - Optica Applicata, Vol. 37, 2007, nr 3, s. 243-259 N2 - In this paper, we have developed a theory (using parabolic equation approach) of coupled propagation of two coaxially co-propagating and mutually incoherent bright 1-D beams in Kerr type media. We have provided a detailed account of the propagation behavior and condition of formation of spatial soliton pairs for various coupling coefficients (k = 1, 2/3, 2) when wavelengths and widths of the beams are the same/different. We have also identified conditions for a distinct type of coupled propagation. Our simple and straightforward theory presents many features of co-propagating beams which are in agreement with the features reported earlier using coupled nonlinear Schrödinger equation (NLSE). The paper adds to the understanding of coupled propagation by revealing many additional features not reported earlier. L1 - http://dbc.wroc.pl/Content/63112/optappl_3703p243.pdf M3 - artykuł L2 - http://dbc.wroc.pl/Content/63112 PY - 2007 KW - optyka KW - Kerr media KW - self-focusing KW - spatial solitons KW - soliton pairing C1 - Wszystkie prawa zastrzeżone (Copyright) A1 - Medhekar, Sarang A1 - Sarkar, Ram Krishna A1 - Paltani, Punya Prasanna A2 - Gaj, Miron. Redakcja PB - Oficyna Wydawnicza Politechniki Wrocławskiej C6 - Dla wszystkich w zakresie dozwolonego użytku LA - eng CY - Wrocław T1 - Soliton pairing of two coaxially co-propagating mutually incoherent 1-D beams in Kerr type media UR - http://dbc.wroc.pl/dlibra/publication/edition/63112 ER - TY - GEN N1 - Optica Applicata, Vol. 44, 2014, nr 2, s. 205-212 L1 - http://dbc.wroc.pl/Content/53692/PDF/optappl_4402p205.pdf M3 - artykuł L2 - http://dbc.wroc.pl/Content/53692 PY - 2014 KW - optyka KW - solitons KW - integrability KW - exact solutions KW - cascaded quadratic media C1 - Wszystkie prawa zastrzeżone (Copyright) A1 - Sarma, Amarendra K. A1 - Biswas, Anjan A2 - Urbańczyk, Wacław. Redakcja PB - Oficyna Wydawnicza Politechniki Wrocławskiej C6 - Dla wszystkich w zakresie dozwolonego użytku LA - eng CY - Wrocław ID - DOI: 10.5277/oa140203 T1 - Solitary wave solution to the nonlinear evolution equation in cascaded quadratic media beyond the slowly varying envelope approximations UR - http://dbc.wroc.pl/dlibra/publication/edition/53692 ER - TY - GEN N1 - Optica Applicata, Vol. 42, 2012, Nr 1, s. 103-110 L1 - http://dbc.wroc.pl/Content/54151/PDF/optappl_4201p103.pdf M3 - artykuł L2 - http://dbc.wroc.pl/Content/54151 PY - 2012 KW - optyka KW - fifth-order nonlinearity management KW - solitons KW - nonlinear Schrödinger equation KW - variation method C1 - Wszystkie prawa zastrzeżone (Copyright) A1 - He, Xiujun A1 - Xie, Kang PB - Oficyna Wydawnicza Politechniki Wrocławskiej C6 - Dla wszystkich w zakresie dozwolonego użytku LA - eng CY - Wrocław ID - DOI: 10.5277/oa120109 T1 - The transmission characteristics under the influence of the fifth-order nonlinearity management UR - http://dbc.wroc.pl/dlibra/publication/edition/54151 ER - TY - GEN N1 - Optica Applicata, Vol. 44, 2014, nr 3, s. 399-409 L1 - http://dbc.wroc.pl/Content/53931/PDF/optappl_4403p399.pdf M3 - artykuł L2 - http://dbc.wroc.pl/Content/53931 PY - 2014 KW - optyka KW - solitons KW - parabolic law nonlinearity KW - birefringent fibers KW - Jacobian elliptic equation KW - Riccati equation C1 - Wszystkie prawa zastrzeżone (Copyright) A1 - Zhou, Qin A1 - Zhu, Qiuping A1 - Biswas, Anjan A2 - Urbańczyk, Wacław. Redakcja PB - Oficyna Wydawnicza Politechniki Wrocławskiej C6 - Dla wszystkich w zakresie dozwolonego użytku LA - eng CY - Wrocław ID - DOI: 10.5277/oa140305 T1 - Optical solitons in birefringent fibers with parabolic law nonlinearity UR - http://dbc.wroc.pl/dlibra/publication/edition/53931 ER - TY - GEN N1 - Optica Applicata, Vol. 40, 2010, nr 2, s. 481-490 N2 - We investigate the effects of higher-order space charge field on the self-deflection of bright screening spatial solitons due to two-photon photorefractive effects by a numerical method under steady-state conditions. The expression for an induced space charge electric field including higher-order space charge field terms is obtained. Numerical results indicate that bright screening solitons undergo self-deflection process during propagation, and the solitons always bend in the opposite direction of the c axis of the crystal. The self-deflection of bright screening solitons can experience considerable increase especially in the regime of high bias field strengths. Relevant examples are provided. L1 - http://dbc.wroc.pl/Content/58282/optappl_4002p481.pdf M3 - artykuł L2 - http://dbc.wroc.pl/Content/58282 PY - 2010 KW - optyka KW - non-linear optics KW - two-photon photorefractive effect KW - bright screening spatial solitons KW - self-deflection C1 - Wszystkie prawa zastrzeżone (Copyright) A1 - Jiang, Qichang A1 - Su, Yanli A1 - Ji, Xuanmang A2 - Gaj, Miron. Redakcja A2 - Urbańczyk, Wacław. Redakcja PB - Oficyna Wydawnicza Politechniki Wrocławskiej C6 - Dla wszystkich w zakresie dozwolonego użytku LA - eng CY - Wrocław T1 - Higher-order space charge field effects on the self-deflection of bright screening spatial solitons in two-photon photorefractive crystals UR - http://dbc.wroc.pl/dlibra/publication/edition/58282 ER - TY - GEN N1 - Optica Applicata, Vol. 42, 2012, Nr 3, s. 447-454 L1 - http://dbc.wroc.pl/Content/23360/PDF/optappl_4203p447.pdf M3 - artykuł L2 - http://dbc.wroc.pl/Content/23360 PY - 2012 KW - optyka KW - fiber optics KW - optical communications KW - pulse propagation and temporal solitons KW - Kerr effect KW - nonlinear optics C1 - Wszystkie prawa zastrzeżone (Copyright) A1 - Girgis, Laila A1 - Milovic, Daniela A1 - Hayat, Tasawar A1 - Aldossary, Omar M. A1 - Biswas, Anjan A2 - Urbańczyk, Wacław. Redakcja PB - Oficyna Wydawnicza Politechniki Wrocławskiej C6 - Dla wszystkich w zakresie dozwolonego użytku LA - eng CY - Wrocław ID - DOI: 10.5277/oa120301 T1 - Optical soliton perturbation with log law nonlinearity UR - http://dbc.wroc.pl/dlibra/publication/edition/23360 ER -