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Supersymmetric methods for constructing soliton-type solutions to multi-component nonlinear Schrdinger and Klein-Gordon equations

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83654

Title: Supersymmetric methods for constructing soliton-type solutions to multi-component nonlinear Schrdinger and Klein-Gordon equations
Authors: Arai, A. Browse this author
Keywords: nonlinear Schrodinger equation
nonliner Klein-Gordon equation
soliton
supersymmetry
superpotential
shape-invariant potential
q-deformed hyperbolic function
Issue Date: 1-Dec-2000
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 508
Start Page: 1
End Page: 22
Abstract: We consider a multi-component nonlinear partial differential equation in the two­dimensional space-time R2 which unifies Schrodinger and Klein-Gordon equations in R 2• By supersymmetric methods connected with shape-invariant potentials, we show that a class of soliton-type solutions to the equation can be constructed from solutions to nonlinear equations of some types for superpotentials. Moreover we present new soliton-type solutions which are written in terms of q-deformed hyperbolic functions.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69258
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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