Solitary waves and conservation laws of complex-valued Klein-Gordon equation in ω-4 field theory

A. Biswas; A. H. Kara; A. H. Bokhari; F. D. Zaman

doi:10.1007/s12648-013-0415-0

Solitary waves and conservation laws of complex-valued Klein-Gordon equation in ω-4 field theory

A. Biswas, A. H. Kara, A. H. Bokhari, F. D. Zaman

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, the ansatz method is used to obtain solitary wave solution, topological solitary wave solution and singular solitary wave solution of the complex valued Klein-Gordon equation with power law nonlinearity. The parameter domains are identified for each of these cases. Finally, the conserved densities for this equation are obtained using multiplier approach in Lie symmetry analysis. Subsequently, these densities integrate out to reveal conserved quantities of the equation.

Original language	English
Pages (from-to)	311-315
Number of pages	5
Journal	Indian Journal of Physics
Volume	88
Issue number	3
DOIs	https://doi.org/10.1007/s12648-013-0415-0
State	Published - Mar 2014

Keywords

Conservation laws
Integrability
Solitary waves

ASJC Scopus subject areas

General Physics and Astronomy

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10.1007/s12648-013-0415-0

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abstract = "In this paper, the ansatz method is used to obtain solitary wave solution, topological solitary wave solution and singular solitary wave solution of the complex valued Klein-Gordon equation with power law nonlinearity. The parameter domains are identified for each of these cases. Finally, the conserved densities for this equation are obtained using multiplier approach in Lie symmetry analysis. Subsequently, these densities integrate out to reveal conserved quantities of the equation.",

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AU - Kara, A. H.

AU - Bokhari, A. H.

AU - Zaman, F. D.

PY - 2014/3

Y1 - 2014/3

N2 - In this paper, the ansatz method is used to obtain solitary wave solution, topological solitary wave solution and singular solitary wave solution of the complex valued Klein-Gordon equation with power law nonlinearity. The parameter domains are identified for each of these cases. Finally, the conserved densities for this equation are obtained using multiplier approach in Lie symmetry analysis. Subsequently, these densities integrate out to reveal conserved quantities of the equation.

AB - In this paper, the ansatz method is used to obtain solitary wave solution, topological solitary wave solution and singular solitary wave solution of the complex valued Klein-Gordon equation with power law nonlinearity. The parameter domains are identified for each of these cases. Finally, the conserved densities for this equation are obtained using multiplier approach in Lie symmetry analysis. Subsequently, these densities integrate out to reveal conserved quantities of the equation.

KW - Conservation laws

KW - Integrability

KW - Solitary waves

UR - https://www.scopus.com/pages/publications/84897994048

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DO - 10.1007/s12648-013-0415-0

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JO - Indian Journal of Physics

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ER -

Solitary waves and conservation laws of complex-valued Klein-Gordon equation in ω-4 field theory

Abstract

Keywords

ASJC Scopus subject areas

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