Translating oscillatory nonlinear structure in a plasma boundary

F. Haas; P. K. Shukla

doi:10.1063/1.3240889

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arXiv · 0912.3827

Translating oscillatory nonlinear structure in a plasma boundary

F. Haas·P. K. Shukla

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Abstract

By means of a Madelung decomposition, exact periodic traveling solutions are constructed for a modified nonlinear Schrodinger equation derived by Stenflo and Gradov, describing electrostatic surface waves in semi-infinite plasma. The condition for the existence of bi-stable equilibria is discussed. A conservation law as well as the modulational instability admitted by the model are analyzed.

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F. Haas, P. K. Shukla. 2009-12-18. Translating oscillatory nonlinear structure in a plasma boundary. https://doi.org/10.1063/1.3240889

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