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Full-Text Articles in Physical Sciences and Mathematics
The Soliton Transform And A Possible Application To Nonlinear Alfvén Waves In Space, T Hada, Robert L. Hamilton, C F. Kennel
The Soliton Transform And A Possible Application To Nonlinear Alfvén Waves In Space, T Hada, Robert L. Hamilton, C F. Kennel
Faculty Publications - Department of Mathematics
We apply the inverse scattering transform (1ST) based upon the Derivative Nonlinear Schrödinger (DNLS) equation to a complex time series of nonlinear Alfvén wave data generated by numerical simulation. The IST describes the long-time evolution of quasi-parallel Alfvén waves more efficiently than the Fourier transform, which is adapted to linear, not nonlinear, problems. When we add dissipation, 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. Since large amplitude Alfven waves and other nonlinear waves …
Alfvén Solitons And The Dnls Equation, Robert L. Hamilton, C F. Kennel, E Mjølhus
Alfvén Solitons And The Dnls Equation, Robert L. Hamilton, C F. Kennel, E Mjølhus
Faculty Publications - Department of Mathematics
No abstract provided.