Analytical studies of the steady solution for optical soliton equation with higher-order dispersion and nonlinear effects

Communications in Nonlinear Science and Numerical Simulation

Volumn 13, Issue 3, 2008, Pages 567-574

  Lin, Chang ^a   Hong, Xue ren ^a   Dou, Fu quan ^a  

^a NORTHWEST NORMAL UNIVERSITY   (China)

Author keywords

Method of Separating variables; Optical soliton equation; Solitary wave solution

Indexed keywords

DISPERSION (WAVES); LYAPUNOV METHODS; NONLINEAR EQUATIONS; NUMERICAL METHODS;

HIGHER-ORDER DISPERSION; LIAPUNOV DIRECT METHOD; OPTICAL SOLITON EQUATION; SOLITARY WAVE SOLUTION;

SOLITONS;

DISPERSION (WAVES); LYAPUNOV METHODS; NONLINEAR EQUATIONS; NUMERICAL METHODS; SOLITONS;

EID: 34848833262     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2006.04.006     Document Type: Article

References (18)

1. Chen S.-R., Cheng Z.-d., Yuan X.-Z., and Hung N.-N. A direct perturbation theory of the nonlinear Schrodingers equation with corrections. Acta Phys Sinica (Overseas Edition) 8 (1999) 590-598
2. Chen Z.-d., Chen X.-J., and Huang N.-N. A soliton perturbation theory for the unstable nonlinear Schrodingers equation with corrections. Acta Phys Sinica (Overseas Edition) 8 (1999) 118-130
3. Cheng X.-J., Zhang J.-q., and Wang Y.-Z. Perturbed spatial dark solitons. Acta Phys Sinica (Overseas Edition) 8 (1999) 284-287
4. Ruan H.-Y., and Cheng Y.-X. Symmetries and dromion solution of A(2 + 1)-dimensional nonlinear Schrodingers equations. Acta Phys Sinica (Overseas Edition) 8 (1999) 241-251
5. Hasega wa A. Optical solitons in fibers. 2nd ed. (1990), Spring-Verlag, Berlin
6. Kodama Y. Optical solitons in a monomode fiber. J Stat Phys 39 56 (1985) 597-614
7. Kodama Y., and Nogaki K. Soliton interaction in optical fibers. Opt Lett 12 12 (1987) 1038-1040
8. Kodama Y., and Hasefawa A. Nonlinear pulse propagation in a monomode dielectric guide. IEEE J Quantum Electron QE-23 5 (1987) 510-524
9. Grodon J.P. Theory of the soliton self-frequency shift. Opt Lett 11 10 (1986) 662-664
10. Abdullaev F.K., Darmanyan S., and Khabibullaev P. Optical solitons (1993), Springer-Verlag, New York, NY, USA
11. Abdullaev F.K., and Garnier J. Solitons in media with random dispersive perturbations. Physica D 134 3 (1999) 303-315
12. Abdullaev F.K., Bronski J.C., and Papanicolaou G. Soliton perturbations and the random Kepler problem. Physica D 135 3-4 (2000) 369-386
13. Abdullaev F.K., and Baizakov B.B. Disintegration of soliton in a dispersion-managed optical communication line with random parameters. Opt Lett 25 2 (2000) 93-95
14. Biswas A. Quasi-stationary non-Kerr law optical solitons. Opt Fiber Technol 9 4 (2003) 224-259
15. Biswas A. Dynamics of stochastic optical solitons. J Electromagnet Waves Appl 18 2 (2004) 145-152
16. Biswas A. Stochastic perturbation of optical solitons in Schrodinger-Hirota equation. Opt Commun 239 4-6 (2004) 457-462
17. Biswas A. Stochastic perturbation of dispersion-managed optical solitons. Opt Quantum Electron 37 7 (2005) 649-659
18. Lin C., and Zhang X.-l. Steady solitons of optical soliton equation with nonlinear response delay term. Chin Phys 10 4 (2001) 307-309