Description of the ion acoustic soliton by a boussinesq type equation

doi:10.1016/0375-9601(79)90209-3

Physics Letters A

Volume 70, Issue 3, 5 March 1979, Pages 211-214

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Abstract

It has been shown that compared to the KdV soliton the solitary wave solution of the Boussinesq equation gives a closer description of the ion acoustic solitary wave. The salient features of the “dressed KdV soliton” results appear as an approximation to the corresponding results for the solitary wave solution of the Boussinesq equation. A fairly good agreement with present experimental findings is obtained.

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Cited by (1)

Nonlinear coherent structures of electron acoustic waves in unmagnetized plasmas
2021, Physics Letters, Section A: General, Atomic and Solid State Physics
The propagation dynamics of nonlinear electron acoustic waves (EAW) are explored analytically and numerically in collisionless unmagnetized plasmas. The dynamics of the nonlinear wave is shown to be governed by a Boussinesq equation. In the supersonic range, the wave becomes unstable in the short wave limit. In the nonlinear stage, this unstable mode reaches a maximum values and after that it damps. Different limiting cases of the general solutions are discussed. Analytical and computational results predict that the nonlinear EAW possesses breather structures apart from the usual solitary wave solutions. The results are discussed in the context of astrophysical plasmas.

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Description of the ion acoustic soliton by a boussinesq type equation

Abstract

Phys. Rev. Lett.

Phys. Fluids

Phys. Fluids

Phys. Fluids

Pl asma Phys.

J. Phys. Soc. Japan