A modified Li-He’s variational principle for plasma-Reference-Cited by-同舟云学术

A modified Li-He’s variational principle for plasma

Published:2021-01-18 Issue:5 Volume:31 Page:1369-1372
ISSN:0961-5539
Container-title:International Journal of Numerical Methods for Heat & Fluid Flow
language:en
Short-container-title:HFF

Author:

He Ji-Huan

Abstract

Purpose It is extremely difficult to establish a variational principle for plasma. Kalaawy obtained a variational principle by using the semi-inverse method in 2016, and Li and He suggested a modification in 2017. This paper aims to search for a generalized variational formulation with a free parameter. Design/methodology/approach The semi-inverse method is used by suitable construction of a trial functional with some free parameters. Findings A modification of Li-He’s variational principle with a free parameter is obtained. Originality/value This paper suggests a new approach to construction of a trial-functional with some free parameters.

Publisher

Emerald

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference14 articles.

1. Laplace transform: Making the variational iteration method easier;Applied Mathematics Letters,2019

2. A modified fractional variational iteration method for solving nonlinear gas dynamic and coupled KdV equations involving local fractional operator;Thermal Science,2018

3. Resonant 1-soliton solution in anti-cubic nonlinear medium with perturbations;Optik,2017

4. Fractional variational iteration method for time-fractional nonlinear functional partial differential equation having proportional delays;Thermal Science,2018

5. Variational principle, conservation laws and exact solutions for dust ion acoustic shock waves modeling modified Burger equation;Computers and Mathematics with Applications,2016

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