Evolution of solitary waves in multicomponent plasmas
type: Item
instance of: scholarly article
title: Evolution of solitary waves in multicomponent plasmas
zbMATH Open document ID: 0948.76092
DOI: 10.1016/S0960-0779(97)00170-7
author: Gireen Ch. Das
author: Jnanjyoti Sarma
published in: Chaos, Solitons and Fractals
publication date: 2000-11-26T00:00:00Z
review text: The authors give the derivation of a three-dimensional equation governing propagation of ion-acoustic waves in a multicomponent plasma (containing negative ions). Depending on the assumption about the components, the equation turns out to be a generalized Kadomtsev-Petviashvili equation with two transverse coordinates and, generally, an arbitrary power in the nonlinear term. Then, looking for a solution which is a function of a single variable (a linear combination of time and all spatial variables), the authors find a solution in the form of some power of the hyperbolic secant.
reviewed by: B. A. Malomed
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 1370425
zbMATH Keywords: ion-acoustic waves
zbMATH Keywords: multicomponent plasma
zbMATH Keywords: generalized Kadomtsev-Petviashvili equation
zbMATH Keywords: hyperbolic secant
MaRDI profile type: Publication
cites work: On travelling waves of gas dynamic equations
cites work: Q5801144
cites work: Traveling Waves of Arbitrary Amplitude in Compressible Hydrodynamics under Gravity: An Exact Solution
cites work: Travelling wave solutions for inhomogeneous acoustic gravity waves
cites work: Beyond travelling waves: A new algorithm for solving nonlinear evolution equations
cites work: Line soliton interactions of a nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation
full work available at URL: s0960-0779(97)00170-7
OpenAlex ID: W2019295192
description: scientific article; zbMATH DE number 1370425