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Korteweg-de Vries Flow Equations from Manakov Equation by Multiple Scale method
Abstract
We perform a multiple scales analysis on the modified nonlinear Schr¨odinger (MNLS) equation in the Hamiltonian form.We derive, as amplitude equations, Korteweg-de Vries (KdV) flow equations in the bi-Hamiltonian form
Keywords
Kaynakça
- S. A. Manakov, On the theory of two-dimensional stationary self-focusing of electromagnetic wawes, Sov. Phys. JETP 38 (1974) 248-2
- B. Crosignani, A. Cutolo, P. di Porto, J. Opt. Soc. Am. 72 (1982) 1136-1141.
- C. R. Menyuk, IEEE JI Quant. Electron. 23 (1987) 174-176.
- J. U. Kang, G. I. Stegeman, J. S. Aitchison, N. Akhmediev, Phys. Rev. Lett. 76 (1996) 3699-3702.
- V. Kutuzov, V. M. Petnikova, V. V. Shuvalov, V. A. Vysloukh, Phys. Rev. E 57 (1998) 6056-6065.
- A. Hasegawa, Y. Kodama, Oxford: Clarendon 1995.
- Y. Kodama, Mathematical theory of NZR. Preprint, solv-int 1997.
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Ayrıntılar
Birincil Dil
Türkçe
Konular
-
Bölüm
-
Yayımlanma Tarihi
19 Ocak 2015
Gönderilme Tarihi
13 Mart 2015
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2015 Cilt: 3 Sayı: 2
APA
Ozer, M. N., & Koparan, M. (2015). Mehmet Naci Ozer1and Murat Koparan2. New Trends in Mathematical Sciences, 3(2), 126-132. https://izlik.org/JA87YY43KX
AMA
1.Ozer MN, Koparan M. Mehmet Naci Ozer1and Murat Koparan2. New Trends in Mathematical Sciences. 2015;3(2):126-132. https://izlik.org/JA87YY43KX
Chicago
Ozer, M. Naci, ve Murat Koparan. 2015. “Mehmet Naci Ozer1and Murat Koparan2”. New Trends in Mathematical Sciences 3 (2): 126-32. https://izlik.org/JA87YY43KX.
EndNote
Ozer MN, Koparan M (01 Ocak 2015) Mehmet Naci Ozer1and Murat Koparan2. New Trends in Mathematical Sciences 3 2 126–132.
IEEE
[1]M. N. Ozer ve M. Koparan, “Mehmet Naci Ozer1and Murat Koparan2”, New Trends in Mathematical Sciences, c. 3, sy 2, ss. 126–132, Oca. 2015, [çevrimiçi]. Erişim adresi: https://izlik.org/JA87YY43KX
ISNAD
Ozer, M. Naci - Koparan, Murat. “Mehmet Naci Ozer1and Murat Koparan2”. New Trends in Mathematical Sciences 3/2 (01 Ocak 2015): 126-132. https://izlik.org/JA87YY43KX.
JAMA
1.Ozer MN, Koparan M. Mehmet Naci Ozer1and Murat Koparan2. New Trends in Mathematical Sciences. 2015;3:126–132.
MLA
Ozer, M. Naci, ve Murat Koparan. “Mehmet Naci Ozer1and Murat Koparan2”. New Trends in Mathematical Sciences, c. 3, sy 2, Ocak 2015, ss. 126-32, https://izlik.org/JA87YY43KX.
Vancouver
1.M. Naci Ozer, Murat Koparan. Mehmet Naci Ozer1and Murat Koparan2. New Trends in Mathematical Sciences [Internet]. 01 Ocak 2015;3(2):126-32. Erişim adresi: https://izlik.org/JA87YY43KX