Envelope solitary waves in nonuniform or dissipative media
Autor: | H. H. Kuehl, C. Y. Zhang |
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Rok vydání: | 1990 |
Předmět: |
Fluid Flow and Transfer Processes
Physics Wave packet Computational Mechanics General Physics and Astronomy Condensed Matter Physics Schrödinger equation symbols.namesake Classical mechanics Transformation (function) Physics::Plasma Physics Mechanics of Materials symbols Dissipative system Perturbation theory Series expansion Nonlinear Sciences::Pattern Formation and Solitons Nonlinear Schrödinger equation Envelope (waves) |
Zdroj: | Physics of Fluids B: Plasma Physics. 2:1511-1519 |
ISSN: | 0899-8221 |
DOI: | 10.1063/1.859476 |
Popis: | For a weakly nonuniform medium, a solitary wave solution of the variable‐coefficient nonlinear Schrodinger equation is obtained through second order in the expansion parameter. From a generalization of the second‐order result, the form of the solution to all orders is derived from which the conditions for an exact, distortionless solitary wave in a nonuniform medium are obtained. By use of a transformation, these results are shown to apply a weakly dissipative medium. |
Databáze: | OpenAIRE |
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