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Abstract
The linear stability of plane wave solutions of various systems of nonlinear partial differential equations is treated. They include an equation for the envelope of a surface wave train on deep water, Zakharov's system for Langmuir waves in plasmas, coupled Schrödinger and Klein-Gordon equations for nucleon and meson fields, and a pair coupled Schrödinger equations. The method of analysis, which was presented previously by the authors, is explained and its scope is broadened.
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