The soliton transform and a possible application to nonlinear Alfven waves in space

Details The soliton transform and a possible application to nonlinear Alfven waves in space The soliton transform and a possible application to nonlinear Alfven waves in space

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993georl..20..779h&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 20, no. 9, p. 779-782.

Physics

8

Inverse Scattering, Magnetohydrodynamic Waves, Nonlinearity, Schroedinger Equation, Solitary Waves, Computerized Simulation, Fourier Transformation, Nonlinear Equations, Solar Wind

Scientific paper

The inverse scattering transform (IST) based on the derivative nonlinear Schroedinger (DNLS) equation is applied to a complex time series of nonlinear Alfven wave data generated by numerical simulation. The IST describes the long-time evolution of quasi-parallel Alfven waves more efficiently than the Fourier transform, which is adapted to linear rather than nonlinear problems. When dissipation is added, so the conditions for the validity of the DNLS are not strictly satisfied, the IST continues to provide a compact description of the wavefield in terms of a small number of decaying envelope solitons.

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