Stationary solution of the nonlinear Schrödinger's equation with log law nonlinearity by Lie symmetry analysis

Waves in Random and Complex Media

Volumn 21, Issue 4, 2011, Pages 554-558

  Biswas, Anjan ^a,b   Khalique, Chaudry Masood ^b  

^a DELAWARE STATE UNIVERSITY   (United States)

^b NORTH WEST UNIVERSITY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

DINGER EQUATION; LIE GROUP ANALYSIS; LIE SYMMETRIES; LOG-LAWS; NON-LINEARITY; STATIONARY SOLUTIONS;

PHYSICS; WAVES;

CONTROL NONLINEARITIES;

EID: 84855818752     PISSN: 17455030     EISSN: 17455049     Source Type: Journal    
DOI: 10.1080/17455030.2011.601353     Document Type: Article

References (10)

1. A. Biswas and D. Milovic, Optical solitons with log law nonlinearity, Commun. Nonlinear Sci. Numer. Simul 15 (2010), pp. 3763-3767.
2. A. Biswas, C. Cleary, J.E. Watson Jr, and D. Milovic, Optical soliton perturbation with time-dependent coefficients in a log law media, Appl. Math. Comput. 217 (2010), pp. 2891-2894.
3. A. Biswas, J.E. Watson Jr, C. Cleary, and D. Milovic, Optical solitons with higher order dispersions in a log law medium, J. Infrared, Millimeter Terahertz Waves 31 (2010), pp. 1048-1056.
4. J. Belmonte-Beitia, Exact solutions for the nonlinear Schrödinger equation with inhomogeneous nonlinearity, Chaos, Solitons Fractals 41 (2009), pp. 1005-1009.
5. G.W. Bluman and S. Kumei, Symmetries and Differential Equations, Springer-Verlag, New York, 1989.
6. C.M. Khalique and A. Biswas, 1-soliton solution of the nonlinear Schrödinger's equation with Kerr law nonlinearity using Lie symmetry analysis, Int. J. Theor. Phys. 48 (2009), pp. 1872-1876.
7. C.M. Khalique and A. Biswas, Gaussian soliton solution to nonlinear Schrödinger's equation with log law nonlinearity, Int. J. Phys. Sci. 5 (2010), pp. 280-282.
8. P.G.L. Leach, An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity, J. Math. Phys. 22 (1981), pp. 465-470.
9. P.J. Olver, Applications of Lie Groups to Differential Equations, Springer-Verlag, New York, 1993.
10. L.V. Ovsiannikov, Group Analysis of Differential Equations, Academic Press, San Diego, 1982.