Journal of the Physical Society of Japan · 1968 · 556 citations · 1 references
Natural SciencesPhysicsDifferential EquationsFluid DynamicsPlasma PhysicsNonlinear Wave DynamicsPartial Differential EquationsPerturbation MethodsPerturbation TheorySingular Perturbation TheoryWave PropagationNonlinear Partial Differential EquationsNonlinear Plasma WavesNonlinear PropagationNonlinear Wave PropagationNonlinear WavesPerturbation ExpansionSingular Perturbation AnalysisSingular Perturbations In Partial Differential Equations
Presented is a class of nonlinear partial differential equations which admit a reduction to tractable nonlinear equations such as the Burgers and the Kortweg-deVries equation. The method of reduction is based on a singular perturbation expansion. Applications to the hydrodynamics and the plasma physics are discussed.
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