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Reductive Perturbation Method in Nonlinear Wave Propagation. I

Journal of the Physical Society of Japan · 1968 · Vol. 24(4) · pp. 941–946

Tosiya Taniuti✉(Nagoya University)Chau-Chin Wei(Nagoya University)

Abstract

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.

Dust and Plasma Wave Phenomena Ionosphere and magnetosphere dynamics Nonlinear Waves and SolitonsNonlinear systemPoincaré–Lindstedt methodSingular perturbationBurgers' equationPartial differential equationPhysicsReduction (mathematics)Perturbation (astronomy)Mathematical analysisApplied mathematics

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