Soliton Collisions in the Ion Acoustic Plasma Equations

Abstract

Numerical experiments involving the interaction of two solitary waves of the ion acoustic plasma equations are described. An exact 2-soliton solution of the relevant KdV equation was fitted to the initial data, and good agreement was maintained throughout the entire interaction. The data demonstrates that the soliton interactions are virtually elastic

arXiv comment13 pages, 3 figures

References in corpus (1)

• Inversion of the linearized Korteweg-deVries equation at the multi-soliton solutions

Cited by in corpus (12)

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• Linear Stability of solitary waves for the isothermal Euler-Poisson system
• Stability of two soliton collision for nonintegrable gKdV equations
• Normal form and solitons
• Two-component description of dynamical systems that can be approximated by solitons: The case of the ion acoustic wave equations of Plasma Physics
• Refined asymptotics around solitons for gKdV equations
• Small amplitude limit of solitary waves for the Euler-Poisson system
• The Initial Value Problem for Weakly Nonlinear PDE
• The Cauchy problem and integrability of a modified Euler-Poisson equation
• A half-space problem on the full Euler-Poisson system