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(author)
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Galerkin approach to approximate solutions of some nonlinear oscillator equations
- 2010
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In: American Journal of Physics. - : American Association of Physics Teachers (AAPT). - 0002-9505 .- 1943-2909. ; 78:9, s. 920-924
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Journal article (peer-reviewed)abstract
- An analysis based on the Galerkin method is given of some nonlinear oscillator equations that have been analyzed by several other methods, including harmonic balance and direct variational methods. The present analysis is shown to provide simple yet accurate approximate solutions of these nonlinear equations and illustrates the usefulness and the power of the Galerkin method. (C) 2010 American Association of Physics Teachers. [DOI: 10.1119/1.3429974]
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Wave-breaking-free pulses in nonlinear-optical fibers
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In: Journal of the Optical Society of America B: Optical Physics. - 1520-8540 .- 0740-3224. ; 10:7, s. 1185-1190
-
Journal article (peer-reviewed)abstract
- A qualitative as well as quantitative investigation is made of the conditions for avoiding wave breaking during pulse propagation in optical fibers. In particular, it is shown that pulses having a parabolic intensity variation are approximate wave-breaking-free solutions of the nonlinear Schrodinger equation in the high-intensity limit. A simple expression for the compression factor of a fiber-grating compressor based on parabolic pulses is also derived.
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(author)
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Self-similar collapse and blow up of laser beams in nonlinear Kerr media-Revisited
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In: Optics Communications. - : Elsevier BV. - 0030-4018. ; 284:13, s. 3422-3427
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Journal article (peer-reviewed)abstract
- Some features of the blow up and collapse phenomena characteristic of the focusing nonlinear Schrodinger equation are discussed. Particular attention is given to recently found solutions describing self-similar collapse in the form of ring-shaped structures. The characteristic parameters of such collapsing rings are found and particular single-humped initial conditions giving rise to ring formation are also discussed. The possibility of self-similarly collapsing beams with parabolic intensity profiles is investigated and used to infer the blow up distance of initially Gaussian beams. The result is shown to be in good agreement with previous empirical results for the blow up distance. (C) 2011 Elsevier B.V. All rights reserved.
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Diffusion of super-Gaussian profiles
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In: European journal of physics. - : Institute of Physics Publishing, Bristol, BS1 6BE, United Kingdom. - 0143-0807 .- 1361-6404. ; 28, s. 45-50
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Journal article (peer-reviewed)
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