Y. Chen, J. Atai, Femtosecond soliton pulses in birefringent optical fibers. J. Opt. Soc. Am. B 14(9), 2365–2372 (1997)
S.G. Evangelides, L.F. Mollenauer, J.P. Gordon, N.S. Bergano, Polarization multiplexing with solitons. J. Lightwave Technol. 10(1), 28–35 (2002)
R. Silambarasan, K.S. Nisar, Doubly periodic solutions and non-topological solitons of 2+ 1- dimension wazwaz kaur boussinesq equation employing jacobi elliptic function method. Chaos Solitons Fractals 175, 113997 (2023)
Article MathSciNet Google Scholar
C. Menyuk, Stability of solitons in birefringent optical fibers. I: equal propagation amplitudes. Opt. Lett. 12(8), 614 (1987)
E. Wright, G. Stegeman, S. Wabnitz, Solitary-wave decay and symmetry-breaking instabilities in two-mode fibers. Phys. Rev. A 40(8), 4455 (1989)
L.F. Mollenauer, K. Smith, J.P. Gordon, C.R. Menyuk, Resistance of solitons to the effects of polarization dispersion in optical fibers. Opt. Lett. 14(21), 1219–1221 (1989)
R. Guo, H.-Q. Hao, Breathers and multi-soliton solutions for the higher-order generalized nonlinear schrödinger equation. Commun. Nonlinear Sci. Numer. Simul. 18(9), 2426–2435 (2013)
Article ADS MathSciNet Google Scholar
P. Wang, T.-P. Ma, F.-H. Qi, Analytical solutions for the coupled hirota equations in the firebringent fiber. Appl. Math. Comput. 411, 126495 (2021)
T.-T. Jia, Y.-Z. Chai, H.-Q. Hao, Multi-soliton solutions and breathers for the generalized coupled nonlinear hirota equations via the hirota method. Superlattices Microstruct. 105, 172–182 (2017)
O. González-Gaxiola, A. Biswas, Y. Yildirim, 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)
M.H. Jakubowski, K. Steiglitz, R. Squier, State transformations of colliding optical solitons and possible application to computation in bulk media. Phys. Rev. E 58(5), 6752 (1998)
J. Dove, C. Chudzicki, J.H. Shapiro, Phase-noise limitations on single-photon cross-phase modulation with differing group velocities. Phys. Rev. A 90(6), 062314 (2014)
D.N. Christodoulides, R. Joseph, Vector solitons in birefringent nonlinear dispersive media. Opt. Lett. 13(1), 53–55 (1988)
M. Tratnik, J. Sipe, Bound solitary waves in a birefringent optical fiber. Phys. Rev. A 38(4), 2011 (1988)
Y.S. Kivshar, Soliton stability in birefringent optical fibers: analytical approach. J. Opt. Soc. Am. B 7(11), 2204–2209 (1990)
M. Haelterman, A. Sheppard, The elliptically polarized fundamental vector soliton of isotropic kerr media. Phys. Lett. A 194(3), 191–196 (1994)
Y. Silberberg, Y. Barad, Rotating vector solitary waves in isotropic fibers. Opt. Lett. 20(3), 246–248 (1995)
J. Soto-Crespo, N. Akhmediev, A. Ankiewicz, Stationary solitonlike pulses in birefringent optical fibers. Phys. Rev. E 51(4), 3547 (1995)
L.F. Mollenauer, R.H. Stolen, J.P. Gordon, Experimental observation of picosecond pulse narrowing and solitons in optical fibers. Phys. Rev. Lett. 45(13), 1095 (1980)
F.-F. Liu, X. Lü, J.-P. Wang, X.-W. Zhou, Modulation instability and collision dynamics of solitons in birefringence optical fibers. Commun. Nonlinear Sci. Numer. Simul. 133, 107961 (2024)
Article MathSciNet Google Scholar
O. Dafounansou, D. Mbah, F.T. Kamdoum, M.K. Njock, Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled kundu-eckhaus equations. Wave Motion 114, 103041 (2022)
Article MathSciNet Google Scholar
L. Tang, Bifurcation analysis and multiple solitons in birefringent fibers with coupled schrödinger-hirota equation. Chaos Solitons Fractals 161, 112383 (2022)
W.-T. Huang, F.-F. Liu, X. Lü, J.-P. Wang, H.-T. Xu, Optical soliton and modulation instability in the high birefringence fiber. Nonlinear Dyn. 108(3), 2429–2445 (2022)
H. Triki, V.I. Kruglov, Generation of solitons and periodic wave trains in birefringent optical fibers. Chaos Solitons Fractals 186, 115300 (2024)
Article MathSciNet Google Scholar
E. Fan, Integrable systems of derivative nonlinearschrödinger type and their multi-hamiltonian structure. J. Phys. A Math. Gen. 34(3), 513 (2001)
A. Kundu, Landau-lifshitz and higher-order nonlinear systems gauge generated from nonlinear schrödinger-type equations. J. Math. Phys. 25(12), 3433–3438 (1984)
Article ADS MathSciNet Google Scholar
F. Calogero, W. Eckhaus, Nonlinear evolution equations, rescalings, model pdes and their integrability: I. Inverse Prob. 3(2), 229 (1987)
Article ADS MathSciNet Google Scholar
D.-S. Wang, X. Wang, Long-time asymptotics and the bright n-soliton solutions of the kundu-eckhaus equation via the riemann-hilbert approach. Nonlinear Anal. Real World Appl. 41, 334–361 (2018)
Article MathSciNet Google Scholar
D. Qiu, J. He, Y. Zhang, K. Porsezian, The darboux transformation of the kundu-eckhaus equation. Proceed. R. Soc. A Math. Phys. Eng. Sci. 471(2180), 20150236 (2015)
X. Wang, B. Yang, Y. Chen, Y. Yang, Higher-order rogue wave solutions of the kundu-eckhaus equation. Phys. Scr. 89(9), 095210 (2014)
K.K. Ahmed, N.M. Badra, H.M. Ahmed, W.B. Rabie, Soliton solutions and other solutions for kundu-eckhaus equation with quintic nonlinearity and raman effect using the improved modified extended tanh-function method. Mathematics 10(22), 4203 (2022)
A.J.M. Jawad, A. Biswas, Y. Yildirim, A.S. Alshomrani, Dark-singular straddled optical solitons for the dispersive concatenation model with power-law of self-phase modulation by tanh-coth approach. Contemporary Mathematics, pp 3198–3214 (2024)
A.J.M. Jawad, Y. Yildirim, A. Biswas, A.S. Alshomrani, Optical solitons for the dispersive concatenation model with polarization mode dispersion by sardar’s sub-equation approach. Contemporary Mathematics, pp 1966–1989 (2024)
A.R. Adem, A. Biswas, Y. Yildirim, A.S. Alshomrani, Revisitation of “implicit quiescent optical solitons with complex ginzburg–landau equation having nonlinear chromatic dispersion”: generalized temporal evolution. Journal of Optics, pp 1–10 (2024)
A.J.M. Jawad, A. Biswas, Y. Yildirim, A.S. Alshomrani, Highly dispersive optical solitons with quadratic-cubic nonlinear form of self-phase modulation by sardar sub-equation approach. Contemporary Mathematics, 1300–1322 (2024)
A.H. Arnous, A. Biswas, Y. Yildirim, A.S. Alshomrani, Optical solitons with dispersive concatenation model having multiplicative white noise by the enhanced direct algebraic method. Contemporary Mathematics, pp 1122–1136 (2024)
A.J.M. Jawad, A. Biswas, Y. Yildirim, A.S. Alshomrani, Optical solitons with differential group delay and inter-modal dispersion singlet. Contemporary Mathematics, pp 1054–1071 (2024)
O. González-Gaxiola, A. Biswas, Y. Yildirim, A.S. Alshomrani, Bright optical solitons for the concatenation model with power-law nonlinearity: Laplace-adomian decomposition. Contemporary Mathematics, pp 1234–1248 (2023)
L. Tang, A. Biswas, Y. Yildirim, A. Asiri, Bifurcation analysis and chaotic behavior of the concatenation model with power-law nonlinearity. Contemporary Mathematics, pp 1014–1025 (2023)
A.R. Adem, A. Biswas, Y. Yildirim, A. Asiri, Implicit quiescent optical solitons for the dispersive concatenation model with nonlinear chromatic dispersion by lie symmetry. Contemporary Mathematics, pp 666–674 (2023)
A.M. Elsherbeny, M. Mirzazadeh, A.H. Arnous, A. Biswas, Y. Yildirim, A. Dakova, A. Asiri, Optical bullets and domain walls with cross spatio-dispersion and having kudryashov’s form of self-phase modulation. Contemporary Mathematics, pp 505–517 (2023)
H. Yépez-Martínez, H. Rezazadeh, A. Souleymanou, S.P.T. Mukam, M. Eslami, V.K. Kuetche, A. Bekir, The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing. Chin. J. Phys. 58, 137–150 (2019)
Y. Yildirim, Optical solitons to kundu-eckhaus equation in the context of birefringent fibers by using of trial equation methodology. Optik 182, 105–109 (2019)
A. Biswas, Y. Yıldırım, E. Yaşar, Q. Zhou, S. Khan, S. Adesanya, S.P. Moshokoa, M. Belic, Optical soliton molecules in birefringent fibers having weak non-local nonlinearity and four-wave mixing with a couple of strategic integration architectures. Optik 179, 927–940 (2019)
Y. Yildirim, Bright, dark and singular optical solitons to kundu-eckhaus equation having four-wave mixing in the context of birefringent fibers by using of modified simple equation methodology. Optik 182, 110–118 (2019)
A. Ali, A.R. Seadawy, Dispersive soliton solutions for shallow water wave system and modified benjamin-bona-mahony equations via applications of mathematical methods. J. Ocean Eng. Sci. 6(1), 85–98 (2021)
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