Topological solitons and other solutions to potential Korteweg-de Vries equation

Anjan Biswas, Sachin Kumar, E. V. Krishnan, Bouthina Ahmed, Andre Strong, Stephen Johnson, Ahmet Yildirim

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

This paper studies the potential Korteweg-de Vries equation. The topological soliton solution is obtained by the aid of ansatz method. The mapping method reveals a list of solutions that include cnoidal waves, snoidal waves and singular solutions in three limiting cases. The Lie symmetry analysis is carried out to obtain several other solutions. Finally, a numerical simulation of the topological soliton is also given in this paper.

Original languageEnglish
Pages (from-to)1125-1137
Number of pages13
JournalRomanian Reports in Physics
Volume65
Issue number4
Publication statusPublished - 2013

Fingerprint

solitary waves
cnoidal waves
lists
symmetry
simulation

Keywords

  • Potential Korteweg-de Vries equation
  • Topological soliton solution

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Biswas, A., Kumar, S., Krishnan, E. V., Ahmed, B., Strong, A., Johnson, S., & Yildirim, A. (2013). Topological solitons and other solutions to potential Korteweg-de Vries equation. Romanian Reports in Physics, 65(4), 1125-1137.

Topological solitons and other solutions to potential Korteweg-de Vries equation. / Biswas, Anjan; Kumar, Sachin; Krishnan, E. V.; Ahmed, Bouthina; Strong, Andre; Johnson, Stephen; Yildirim, Ahmet.

In: Romanian Reports in Physics, Vol. 65, No. 4, 2013, p. 1125-1137.

Research output: Contribution to journalArticle

Biswas, A, Kumar, S, Krishnan, EV, Ahmed, B, Strong, A, Johnson, S & Yildirim, A 2013, 'Topological solitons and other solutions to potential Korteweg-de Vries equation', Romanian Reports in Physics, vol. 65, no. 4, pp. 1125-1137.
Biswas A, Kumar S, Krishnan EV, Ahmed B, Strong A, Johnson S et al. Topological solitons and other solutions to potential Korteweg-de Vries equation. Romanian Reports in Physics. 2013;65(4):1125-1137.
Biswas, Anjan ; Kumar, Sachin ; Krishnan, E. V. ; Ahmed, Bouthina ; Strong, Andre ; Johnson, Stephen ; Yildirim, Ahmet. / Topological solitons and other solutions to potential Korteweg-de Vries equation. In: Romanian Reports in Physics. 2013 ; Vol. 65, No. 4. pp. 1125-1137.
@article{f1cfba48748e48d88b7477c7ec7b827a,
title = "Topological solitons and other solutions to potential Korteweg-de Vries equation",
abstract = "This paper studies the potential Korteweg-de Vries equation. The topological soliton solution is obtained by the aid of ansatz method. The mapping method reveals a list of solutions that include cnoidal waves, snoidal waves and singular solutions in three limiting cases. The Lie symmetry analysis is carried out to obtain several other solutions. Finally, a numerical simulation of the topological soliton is also given in this paper.",
keywords = "Potential Korteweg-de Vries equation, Topological soliton solution",
author = "Anjan Biswas and Sachin Kumar and Krishnan, {E. V.} and Bouthina Ahmed and Andre Strong and Stephen Johnson and Ahmet Yildirim",
year = "2013",
language = "English",
volume = "65",
pages = "1125--1137",
journal = "Romanian Reports in Physics",
issn = "1221-1451",
publisher = "Editura Academiei Romane",
number = "4",

}

TY - JOUR

T1 - Topological solitons and other solutions to potential Korteweg-de Vries equation

AU - Biswas, Anjan

AU - Kumar, Sachin

AU - Krishnan, E. V.

AU - Ahmed, Bouthina

AU - Strong, Andre

AU - Johnson, Stephen

AU - Yildirim, Ahmet

PY - 2013

Y1 - 2013

N2 - This paper studies the potential Korteweg-de Vries equation. The topological soliton solution is obtained by the aid of ansatz method. The mapping method reveals a list of solutions that include cnoidal waves, snoidal waves and singular solutions in three limiting cases. The Lie symmetry analysis is carried out to obtain several other solutions. Finally, a numerical simulation of the topological soliton is also given in this paper.

AB - This paper studies the potential Korteweg-de Vries equation. The topological soliton solution is obtained by the aid of ansatz method. The mapping method reveals a list of solutions that include cnoidal waves, snoidal waves and singular solutions in three limiting cases. The Lie symmetry analysis is carried out to obtain several other solutions. Finally, a numerical simulation of the topological soliton is also given in this paper.

KW - Potential Korteweg-de Vries equation

KW - Topological soliton solution

UR - http://www.scopus.com/inward/record.url?scp=84890262598&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84890262598&partnerID=8YFLogxK

M3 - Article

VL - 65

SP - 1125

EP - 1137

JO - Romanian Reports in Physics

JF - Romanian Reports in Physics

SN - 1221-1451

IS - 4

ER -