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Traveling Wave Evolutions of a Cosh-Gaussian Laser Beam in Both Kerr and Cubic Quintic Nonlinear Media Based on Mathematica |
WANG Jun-Min
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Department of Mathematics and Information, Henan University of Finance and Law, Zhengzhou 450002
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Cite this article: |
WANG Jun-Min 2011 Chin. Phys. Lett. 28 030202 |
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Abstract With the aid of Mathematica, three auxiliary equations, i.e. the Riccati equation, the Lenard equation and the Hyperbolic equation, are employed to investigate traveling wave solutions of a cosh-Gaussian laser beam in both Kerr and cubic quintic nonlinear media. As a result, many traveling wave solutions are obtained, including soliton-like solutions, hyperbolic function solutions and trigonometric function solutions.
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Keywords:
02.30.Ik
03.65.Ge
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Received: 25 September 2010
Published: 28 February 2011
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PACS: |
02.30.Ik
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(Integrable systems)
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03.65.Ge
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(Solutions of wave equations: bound states)
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[1] Chiao R Y et al 1964 Phys. Rev. Lett. 13 479
[2] Kelley P L 1965 Phys. Rev. Lett. 15 1005
[3] Silberbarg Y 1990 Opt. Lett. 15 1282
[4] Bergé L 1998 Phys. Rep. 303 259
[5] Li Y 2000 J. Opt. Soc. Am. B 17 555
[6] Johannisson P et al 2003 Opt. Commun. 222 107
[7] Casperson L W et al 1997 J. Opt. Soc. Am. A 14 3341
[8] Aben H and Ainola L 1998 J. Opt. Soc. Am. A 15 954
[9] Konar S, Mishra M and Jana S 2008 Phys. Lett. A 362 505
[10] Konar S et al 2007 Phys. Lett. A 362 505
[11] Zhu S D 2007 Chaos, Solitons and Fractals 34 1608
[12] Zhang L H 2009 Appl. Math. Comput. 208 144
[13] Zhang S et al 2010 J. Adv. Math. Studies 3 125
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