Exactly integrable nonisospectral models for femtosecond colored solitons and their reversible transformations

作者: V.N. Serkin , T.L. Belyaeva

DOI: 10.1016/J.IJLEO.2018.01.020

关键词:

摘要: Abstract We present three exactly integrable nonisospectral nonlinear evolution models with varying in time linear potentials: the forced complex modified Korteweg-de Vries (cmKdV), Hirota, and Sasa-Satsuma equations. In all we have added time-varying potential to effectively simulate two effects of tremendous significance for soliton management fiber optics communications: sliding filter method noise separation from a Raman self-scattering effect. find gauge transformations between introduced arranged such way that their solutions, accelerating nonautonomous solitons, can be directly obtained without resolving inverse scattering transform problem.

参考文章(34)
James A. Krumhansl, Unity in the Science of Physics Physics Today. ,vol. 44, pp. 33- 38 ,(1991) , 10.1063/1.881282
Y. Kodama, A. Hasegawa, Nonlinear pulse propagation in a monomode dielectric guide IEEE Journal of Quantum Electronics. ,vol. 23, pp. 510- 524 ,(1987) , 10.1109/JQE.1987.1073392
M. S. Mani Rajan, A. Mahalingam, Nonautonomous solitons in modified inhomogeneous Hirota equation: soliton control and soliton interaction Nonlinear Dynamics. ,vol. 79, pp. 2469- 2484 ,(2015) , 10.1007/S11071-014-1826-Y
MA Agüero, TL Belyaeva, VN Serkin, None, Compacton anti-compacton pair for hydrogen bonds and rotational waves in DNA dynamics Communications in Nonlinear Science and Numerical Simulation. ,vol. 16, pp. 3071- 3080 ,(2011) , 10.1016/J.CNSNS.2010.10.025
Hsing-Hen Chen, Chuan-Sheng Liu, Solitons in nonuniform media Physical Review Letters. ,vol. 37, pp. 693- 697 ,(1976) , 10.1103/PHYSREVLETT.37.693
Ryogo Hirota, Exact envelope‐soliton solutions of a nonlinear wave equation Journal of Mathematical Physics. ,vol. 14, pp. 805- 809 ,(1973) , 10.1063/1.1666399
Lubomir M. Kovachev, Vortex solutions of the nonlinear optical Maxwell-Dirac equations Physica D: Nonlinear Phenomena. ,vol. 190, pp. 78- 92 ,(2004) , 10.1016/J.PHYSD.2003.08.009
C. Q. Dai, C. L. Zheng, H. P. Zhu, Controllable rogue waves in the nonautonomous nonlinear system with a linear potential European Physical Journal D. ,vol. 66, pp. 112- ,(2012) , 10.1140/EPJD/E2012-20718-0
T. L. Belyaeva, V. N. Serkin, Akira Hasegawa, Jingsong He, Yishen Li, Generalized Lax Pair Operator Method and Nonautonomous Solitons Springer, Basel. pp. 57- 76 ,(2012) , 10.1007/978-3-0348-0346-5_4