Sub pico-second pulses in mono-mode optical fibers with Kaup–Newell equation by a couple of integration schemes

Optik - Tập 167 - Trang 121-128 - 2018
Anjan Biswas1,2,3, Yakup Yıldırım4, Emrullah Yaşar4, Qin Zhou5, Seithuti P. Moshokoa2, Milivoj R. Belić6
1Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University, Riyadh, 13318, Saudi Arabia
2Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa
3Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA
4Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, Turkey
5School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People’s Republic of China
6Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar

Tóm tắt

Từ khóa


Tài liệu tham khảo

Anderson, 1983, Nonlinear asymmetric self-phase modulation and self-steepening of pulses in long optical waveguides, Phys. Rev. A, 27, 1393, 10.1103/PhysRevA.27.1393

Biswas, 2005, Soliton perturbation theory for Alfven waves in plasmas, Phys. Plasmas, 12, 022306, 10.1063/1.1848109

Guha, 2002, Geometry of the Kaup–Newell equation, Rep. Math. Phys., 50, 1, 10.1016/S0034-4877(02)80040-4

Jin-Chun, 2008, Comment on revision of Kaup–Newell's works on IST for DNLS equation, Commun. Theor. Phys., 50, 1369, 10.1088/0253-6102/50/6/26

Guo, 2018, Analytic study on interactions of some types of solitary waves, Optik, 164, 132, 10.1016/j.ijleo.2018.03.002

Ma, 1999, A coupled AKNS-Kaup–Newell soliton hierarchy, J. Math. Phys., 40, 4419, 10.1063/1.532976

Pashaev, 2017, Relativistic DNLS and Kaup–Newell hierarchy, Symmetry Integr. Geom. Methods Appl., 13

Tzoar, 1981, Self-phase modulation in long-geometry optical waveguides, Phys. Rev. A, 23, 1266, 10.1103/PhysRevA.23.1266

Yang, 2016, Conservation laws of a perturbed Kaup–Newell equation, Mod. Phys. Lett. B, 30, 1650381, 10.1142/S0217984916503814

Zhihua, 2007, On generating equations for the Kaup–Newell hierarchy, Appl. Math. A J. Chin. Univ., 22, 413, 10.1007/s11766-007-0405-0