Solitons and shock waves to Zakharov-Kuznetsov equation with dual-power-law nonlinearity in Plasmas

E. V. Krishnan, Qin Zhou, Anjan Biswas

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We obtain solitary wave and other solutions to the Zakharov-Kuznetsov equation governed by dual-power-law nonlinearity. The travelling-wave hypothesis is applied to obtain the 1-soliton solution and the solution in series method reveals topological soliton solutions. Constraint conditions are identified in all these methods.

Original languageEnglish
Pages (from-to)137-143
Number of pages7
JournalProceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science
Volume17
Issue number2
Publication statusPublished - Apr 1 2016

Fingerprint

Soliton Solution
Solitons
Shock Waves
Shock waves
shock waves
Power Law
Plasma
solitary waves
nonlinearity
Nonlinearity
Plasmas
Topological Methods
Solitary Waves
Traveling Wave
traveling waves
Series

Keywords

  • Integrability
  • Solitons
  • Solution in series method
  • Travelling-wave

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)
  • Computer Science(all)

Cite this

@article{a9cef572ff7f4dac840e1c04f4f530af,
title = "Solitons and shock waves to Zakharov-Kuznetsov equation with dual-power-law nonlinearity in Plasmas",
abstract = "We obtain solitary wave and other solutions to the Zakharov-Kuznetsov equation governed by dual-power-law nonlinearity. The travelling-wave hypothesis is applied to obtain the 1-soliton solution and the solution in series method reveals topological soliton solutions. Constraint conditions are identified in all these methods.",
keywords = "Integrability, Solitons, Solution in series method, Travelling-wave",
author = "Krishnan, {E. V.} and Qin Zhou and Anjan Biswas",
year = "2016",
month = "4",
day = "1",
language = "English",
volume = "17",
pages = "137--143",
journal = "Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science",
issn = "1454-9069",
publisher = "Publishing House of the Romanian Academy",
number = "2",

}

TY - JOUR

T1 - Solitons and shock waves to Zakharov-Kuznetsov equation with dual-power-law nonlinearity in Plasmas

AU - Krishnan, E. V.

AU - Zhou, Qin

AU - Biswas, Anjan

PY - 2016/4/1

Y1 - 2016/4/1

N2 - We obtain solitary wave and other solutions to the Zakharov-Kuznetsov equation governed by dual-power-law nonlinearity. The travelling-wave hypothesis is applied to obtain the 1-soliton solution and the solution in series method reveals topological soliton solutions. Constraint conditions are identified in all these methods.

AB - We obtain solitary wave and other solutions to the Zakharov-Kuznetsov equation governed by dual-power-law nonlinearity. The travelling-wave hypothesis is applied to obtain the 1-soliton solution and the solution in series method reveals topological soliton solutions. Constraint conditions are identified in all these methods.

KW - Integrability

KW - Solitons

KW - Solution in series method

KW - Travelling-wave

UR - http://www.scopus.com/inward/record.url?scp=84976294119&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84976294119&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84976294119

VL - 17

SP - 137

EP - 143

JO - Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science

JF - Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science

SN - 1454-9069

IS - 2

ER -