Copy For Citation
Koparan M.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.37, no.3, pp.402-407, 2014 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
37
Issue:
3
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Publication Date:
2014
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Doi Number:
10.1002/mma.2799
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Journal Name:
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.402-407
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Keywords:
nonlinear Schrodinger equation, KdV equation, multiple scales method, PERIODIC-SOLUTIONS, WAVE SOLUTIONS, PERTURBATION
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Anadolu University Affiliated:
Yes
Abstract
We perform a multiple scale analysis on the fourth order nonlinear Schrodinger equation in the Hamiltonian form together with the Hamiltonian function. We derive, as amplitude equations, Korteweg-de Vries flow equations in the bi-Hamiltonian form with the corresponding Hamiltonian functions. Copyright (c) 2013 John Wiley & Sons, Ltd.