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Träfflista för sökning "L773:1402 9251 OR L773:1776 0852 srt2:(1994)"

Search: L773:1402 9251 OR L773:1776 0852 > (1994)

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1.
  • Euler, Marianna, et al. (author)
  • Symmetry classification for a coupled nonlinear Schrödinger equation
  • 1994
  • In: Journal of Nonlinear Mathematical Physics. - : Springer Science and Business Media LLC. - 1402-9251 .- 1776-0852. ; 1:4, s. 358-379
  • Journal article (peer-reviewed)abstract
    • We do a Lie symmetry classification for a system of two nonlinear coupled Schrödinger equations. Our system under consideration is a generalization of the equations which follow from the analysis of optical fibres. Reductions of some special equations are given.
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2.
  • Euler, Norbert, et al. (author)
  • Symmetry properties of the approximations of multidimensional generalized van der Pol equations
  • 1994
  • In: Journal of Nonlinear Mathematical Physics. - : Springer Science and Business Media LLC. - 1402-9251 .- 1776-0852. ; 1:1, s. 41-59
  • Journal article (peer-reviewed)abstract
    • The subject of the paper are symmetries of the nonlinear hyperbolic equation, $$\frac{\partial^2u}{\partial t^2} - \sum_{n=1}^N \frac{\partial^2u}{\partial^2x_n} +m^2u - \varepsilon f(u)\left(\lambda_0 \frac{\partial u}{\partial t} + \sum_{n=1}^N\lambda_n \frac{\partial u}{\partial x_n}\right) =0. $$ The case $f(u)=1-u^2$ corresponds to the generalized van der Pol equation. The equation is expanded in powers of the parameter $\varepsilon$, which stands in front of the nonlinear term, and then symmetries of the resulting chain of approximate equations are studied by means of the Lie-group technique. Emphasis is made on a special type of the function $f(u)$ which admits conformal invariance of the equation.
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  • Result 1-2 of 2
Type of publication
journal article (2)
Type of content
peer-reviewed (2)
Author/Editor
Euler, Norbert (2)
Euler, Marianna (2)
Zachary, W.W (1)
Mahmood, M.F. (1)
Gill, T.L. (1)
University
Luleå University of Technology (2)
Language
English (2)
Research subject (UKÄ/SCB)
Natural sciences (2)
Year

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