A numerical study of optical soliton-like structures resulting from the nonlinear Schrödinger's equation with square-root law nonlinearity

Applied Mathematics and Computation

Volumn 207, Issue 2, 2009, Pages 319-326

  Lott, Dawn A ^a   Henriquez, Auris ^a   Sturdevant, Benjamin J M ^a   Biswas, Anjan ^a  

^a DELAWARE STATE UNIVERSITY   (United States)

Author keywords

Kerr law; Nonlinear Schr dinger's equation; Optical solitons; Photorefractive media; Square root nonlinearity

Indexed keywords

CONTROL NONLINEARITIES; CONTROL THEORY; DIRECT NUMERICAL SIMULATION; GAUSSIAN BEAMS; LAWS AND LEGISLATION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; OPTICAL PROPERTIES; ORDINARY DIFFERENTIAL EQUATIONS; PHOTOREACTIVITY; PHOTOREFRACTIVE MATERIALS; RUNGE KUTTA METHODS; SOLITONS; TRELLIS CODES;

BEAM PROPAGATIONS; GAUSSIAN; INITIAL CONDITIONS; KERR-LAW; MODULATIONAL INSTABILITIES; NUMERICAL INVESTIGATIONS; NUMERICAL STUDIES; NUMERICAL TECHNIQUES; OPTICAL BEAMS; OPTICAL MEDIAS; OPTICAL SOLITONS; PHOTOREFRACTIVE MEDIA; SOLITON LIKES; SQUARE-ROOT NONLINEARITY; TRAVELING WAVES;

NONLINEAR EQUATIONS;

EID: 58349117491     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.10.038     Document Type: Article

References (15)

1. Adabi A., and Tayarani M. Substrate integration of dual inductive post waveguide filter. Progress in Electromagnetics Research B 7 (2008) 321-329
2. Akhmediev N.N., Ankiewicz A., and Grimshaw R. Hamiltonian-versus-energy diagrams in soliton theory. Physical Review E 59 (1999) 6088-6096
3. Ballav M., and Chowdhury A.R. On a study of diffraction and dispersion-managed soliton in a cylindrical media. Progress in Electromagnetics Research, PIER 63 (2006) 33-50
4. Biswas A., and Konar S. Introduction to non-Kerr Law Optical Solitons (2007), Chapman & Hall/CRC
5. Calvo G.F., Agulló-López F., Carrascosa M., Belic M.R., and Królikowski W. Europhysics Letters 60 (2002) 847
6. Calvo G.F., Agulló-López F., Carrascosa M., Belic M.R., and Vujic D. Optics Communications 227 (2003) 193
7. Desyatnikov A., Kivshar Y., and Torner L. Optical vortices and vortex solitons. Progress in Optics 47 (2005) 219
8. Kapoor R., and Agarwal G.S. Finite beam curvature related patterns in a saturable medium. Optics Express 4 (1999) 161-166
9. Kivshar Y.S. Bright and dark spatial solitons in non-Kerr media. Optical and Quantum Electronics 30 (1998) 571-614
10. Konar S., and Sengupta A. Self-focussing of elliptic Gaussian laser beams: saturable nonlinearity. Pramana 42 (1994) 223-230
11. Konar S., and Biswas A. Chirped optical pulse propagation in saturating nonlinear media. Optical and Quantum Electronics 36 (2004) 905-918
12. Petroskia M.M., Petrovica M.S., and Belica M.R. Quasi-stable propagation of vortices and soliton clusters in previous saturable Kerr media with square-root nonlinearity. Optics Communications 279 (2007) 196-202
13. Yang J., and Pelinovsky D.E. Stable vortex and dipole vector solitons in a saturable nonlinear medium. Physical Review E 67 (2003)
14. Hildebrand F.B. Introduction to Numerical Analysis (1974), Dover
15. Morton K.W., and Mayer D.F. Numerical Solution of Partial Differential Equations (1994), Cambridge University Press