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Dissipative soliton resonances and their applications

Title
Dissipative soliton resonances and their applications
Funding
ARC | Discovery Projects
Contract (GA) number
DP0985394
Start Date
2009/01/01
End Date
2011/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP0985394

 

  • Three-dimensional rogue waves in nonstationary parabolic potentials

    Yan, Zhenya; Konotop, V. V.; Akhmediev, N. (2010)
    Projects: ARC | Dissipative soliton resonances and their applications (DP0985394), EC | NOMATOS (236099)
    Using symmetry analysis we systematically present a higher-dimensional similarity transformation reducing the (3+1)-dimensional inhomogeneous nonlinear Schrodinger (NLS) equation with variable coefficients and parabolic potential to the (1+1)-dimensional NLS equation with constant coefficients. This transformation allows us to relate certain class of localized exact solutions of the (3+1)-dimensional case to the variety of solutions of integrable NLS equation of (1+1)-dimensional case. As an ...
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