Generalized variational structures of the (3+1)-dimensional Zakharov–Kuznetsov–Burgers equation in dusty plasma-Reference-Cited by-同舟云学术

Generalized variational structures of the (3+1)-dimensional Zakharov–Kuznetsov–Burgers equation in dusty plasma

Published:2024-03-22 Issue:09 Volume:21 Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Wang Kang-Jia¹^ORCID,Li Shuai¹^ORCID,Shi Feng¹^ORCID

Affiliation:

1. School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, P. R. China

Abstract

The center of this paper is to establish the generalized variational structure (GVS) of the [Formula: see text]-dimensional Zakharov–Kuznetsov–Burgers equation (ZKBe) by taking advantage of the Semi-inverse method (SIM). Two different GVSs are extracted and the derivation process is presented in detail. The extracted GVSs reveal the energy conservation law and can offer some new insights on the study of the variational method.

Funder

Henan Province of China

Program of Henan Polytechnic University

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887824501706

Reference19 articles.

1. Finite element analysis for thermal enhancement in power law hybrid nanofluid

2. Modulation stability analysis and solitary wave solutions of nonlinear higher-order Schrödinger dynamical equation with second-order spatiotemporal dispersion

3. Applications of nonlinear longitudinal wave equation in a magneto-electro-elastic circular rod and new solitary wave solutions

4. A study of travelling, periodic, quasiperiodic and chaotic structures of perturbed Fokas–Lenells model

5. A NOVEL COMPUTATIONAL APPROACH TO THE LOCAL FRACTIONAL (3+1)-DIMENSIONAL MODIFIED ZAKHAROV–KUZNETSOV EQUATION

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