On the uniqueness of Gaussian ansatz parameters equations: Generalized projection operator method

P. K. A. Wai; Nakkeeran Kaliyaperumal

doi:10.1016/j.physleta.2004.09.075

On the uniqueness of Gaussian ansatz parameters equations: Generalized projection operator method

P. K. A. Wai, Nakkeeran Kaliyaperumal

Engineering

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20 Citations (Scopus)

Abstract

Based on the recently reported generalized projection operator method for nonlinear Schrodinger equation, one can derive two different sets of pulse parameters equations while using ansatze like hyperbolic secant or raised-cosine. We show that in case of a Gaussian like ansatz those sets of equations are unique because of the symmetric property between the ansatz parameters. (C) 2004 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	239-243
Number of pages	4
Journal	Physics Letters A
Volume	332
DOIs	https://doi.org/10.1016/j.physleta.2004.09.075
Publication status	Published - 2004

Keywords

nonlinear Schrodinger equation
projection operator method
Lagrangian variational method
Gaussian ansatz

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10.1016/j.physleta.2004.09.075

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title = "On the uniqueness of Gaussian ansatz parameters equations: Generalized projection operator method",

abstract = "Based on the recently reported generalized projection operator method for nonlinear Schrodinger equation, one can derive two different sets of pulse parameters equations while using ansatze like hyperbolic secant or raised-cosine. We show that in case of a Gaussian like ansatz those sets of equations are unique because of the symmetric property between the ansatz parameters. (C) 2004 Elsevier B.V. All rights reserved.",

keywords = "nonlinear Schrodinger equation, projection operator method, Lagrangian variational method, Gaussian ansatz",

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year = "2004",

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AU - Wai, P. K. A.

AU - Kaliyaperumal, Nakkeeran

PY - 2004

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N2 - Based on the recently reported generalized projection operator method for nonlinear Schrodinger equation, one can derive two different sets of pulse parameters equations while using ansatze like hyperbolic secant or raised-cosine. We show that in case of a Gaussian like ansatz those sets of equations are unique because of the symmetric property between the ansatz parameters. (C) 2004 Elsevier B.V. All rights reserved.

AB - Based on the recently reported generalized projection operator method for nonlinear Schrodinger equation, one can derive two different sets of pulse parameters equations while using ansatze like hyperbolic secant or raised-cosine. We show that in case of a Gaussian like ansatz those sets of equations are unique because of the symmetric property between the ansatz parameters. (C) 2004 Elsevier B.V. All rights reserved.

KW - nonlinear Schrodinger equation

KW - projection operator method

KW - Lagrangian variational method

KW - Gaussian ansatz

U2 - 10.1016/j.physleta.2004.09.075

DO - 10.1016/j.physleta.2004.09.075

M3 - Article

SN - 0375-9601

VL - 332

SP - 239

EP - 243

JO - Physics Letters A

JF - Physics Letters A

ER -

On the uniqueness of Gaussian ansatz parameters equations: Generalized projection operator method

Abstract

Keywords

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