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

Ping Kong Alexander Wai; K. Nakkeeran

doi:10.1016/j.physleta.2004.09.075

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

Ping Kong Alexander Wai, K. Nakkeeran

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

20 Citations (Scopus)

Abstract

Based on the recently reported generalized projection operator method for nonlinear Schrödinger equation, one can derive two different sets of pulse parameters equations while using ansätze 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.

Original language	English
Pages (from-to)	239-243
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	332
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physleta.2004.09.075
Publication status	Published - 15 Nov 2004

Keywords

Gaussian ansatz
Lagrangian variational method
Nonlinear Schrödinger equation
Projection operator method

ASJC Scopus subject areas

General Physics and Astronomy

More information

10.1016/j.physleta.2004.09.075

Cite this

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abstract = "Based on the recently reported generalized projection operator method for nonlinear Schr{\"o}dinger equation, one can derive two different sets of pulse parameters equations while using ans{\"a}tze 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.",

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AU - Nakkeeran, K.

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AB - Based on the recently reported generalized projection operator method for nonlinear Schrödinger equation, one can derive two different sets of pulse parameters equations while using ansätze 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.

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KW - Lagrangian variational method

KW - Nonlinear Schrödinger equation

KW - Projection operator method

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DO - 10.1016/j.physleta.2004.09.075

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

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

Abstract

Keywords

ASJC Scopus subject areas

More information

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