Benjamin–Ono equation: Difference between revisions

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In mathematics, the '''Zakharov–Schulman system''' is a system of nonlinear [[partial differential equation]]s introduced in {{harv|Zakharov|Schulman|1980}} to describe the interactions of small amplitude, high frequency waves with [[acoustic wave]]s.
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The equations are
:<math>i\partial_t^{} u + L_1u = \phi u</math>
:<math>L_2 \phi = L_3( | u |^2)</math>
where ''L''<sub>1</sub>, ''L''<sub>2</sub>, and ''L''<sub>3</sub>, are  constant coefficient [[differential operator]]s.
 
==References==
*[[Vladimir E. Zakharov|V.E. Zakharov]], E.I. Schulman, Degenerated dispersion laws, motion invariant and kinetic equations, Physica 1D (1980), 185-250.
 
==External links==
*{{dpde|Zakharov-Schulman_system}}
 
{{DEFAULTSORT:Zakharov-Schulman system}}
[[Category:Partial differential equations]]

Latest revision as of 23:05, 3 September 2014

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