Approximation to the global solution of generalized Zakharov equations in [Formula: see text]

We consider the initial value problem for the two-dimensional generalized Zakharov equations which model the propagation of Langmuir waves in plasmas. It is obtained that the solutions of the two-dimensional generalized Zakharov equations converge as [Formula: see text] to a solution of the Zakharov...

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Detalles Bibliográficos
Autor principal: You, Shujun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105182/
https://www.ncbi.nlm.nih.gov/pubmed/30839574
http://dx.doi.org/10.1186/s13660-018-1813-9
Descripción
Sumario:We consider the initial value problem for the two-dimensional generalized Zakharov equations which model the propagation of Langmuir waves in plasmas. It is obtained that the solutions of the two-dimensional generalized Zakharov equations converge as [Formula: see text] to a solution of the Zakharov equations. Both weak and strong solutions are considered.

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