2010•Journal of Nantong UniversityRequires access

Explicit Traveling Wave Solutions for Ion Acoustic Wave Equations

Zhao Chang

Abstract

Ion-acoustic wave equations are turned into kdv equations with the reductive perturbation method.After a new transformation and adoption of a correct form of trial function,we can briefly obtain the soliton solutions to kdv equations and the solitary solutions to ion acoustic wave equations.The results obtained match perfectly the known results.The soliton solution reveals the relationship among the amplitude,velocity and the solitary width of the wave.

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Key concepts: Korteweg–de Vries equation, Soliton, Physics, Perturbation (astronomy), Transformation (genetics), Mathematical analysis, Amplitude, Ion