Quarterly of Applied Mathematics · 1985 · 20 citations · 9 references
Natural SciencesPhysicsDynamical SystemsElectromagnetismFluid DynamicsMagnetohydrodynamicsNonlinear Plasma DynamicsNonlinear Wave DynamicsSurface Wave DynamicsMagnetohydrodynamic InstabilitiesMagnetohydrodynamic StabilityModulational InstabilityNonlinear EvolutionStabilizing MechanismsSurface Tension ContributionsSurface Tension WavesWave Nonlinearity
A weakly nonlinear evolution of two dimensional wave packets on the surface of a magnetic fluid in the presence of a tangential magnetic field is presented taking into account the surface tension. It is shown that the magnetic field has a stabilizing influence on the modulational instability.
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<i>Linear and Nonlinear Waves</i>
G. B. Whitham, Richard Fowler · Physics Today · 1975 · 8.3K citations