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

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

Mathematics & Statistics

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17 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 language	English
Pages (from-to)	1125-1137
Number of pages	13
Journal	Romanian Reports in Physics
Volume	65
Issue number	4
Publication status	Published - 2013

Keywords

Potential Korteweg-de Vries equation
Topological soliton solution

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

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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.",

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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

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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