메뉴 건너뛰기




Volumn 85, Issue 2, 2012, Pages

Multisolitons, breathers, and rogue waves for the Hirota equation generated by the Darboux transformation

Author keywords

[No Author keywords available]

Indexed keywords

DARBOUX TRANSFORMATIONS; EXPLICIT FORMULA; FIRST ORDER; HIROTA EQUATION; ROGUE WAVES; TAYLOR EXPANSIONS;

EID: 84857545724     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.026601     Document Type: Article
Times cited : (314)

References (34)
  • 3
    • 77954764766 scopus 로고    scopus 로고
    • PHUSEY 1063-7869 10.3367/UFNe.0180.201001b.0055
    • P. K. Shukla and B. Eliasson, Phys. Usp. PHUSEY 1063-7869 10.3367/UFNe.0180.201001b.0055 53, 51 (2010).
    • (2010) Phys. Usp. , vol.53 , pp. 51
    • Shukla, P.K.1    Eliasson, B.2
  • 5
    • 0343676826 scopus 로고
    • APPLAB 0003-6951 10.1063/1.1654836
    • A. Hasegawa and F. Tappert, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1654836 23, 142 (1973).
    • (1973) Appl. Phys. Lett. , vol.23 , pp. 142
    • Hasegawa, A.1    Tappert, F.2
  • 7
  • 8
    • 0000492769 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1666399
    • R. Hirota, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1666399 14, 805 (1973).
    • (1973) J. Math. Phys. , vol.14 , pp. 805
    • Hirota, R.1
  • 9
    • 0035475826 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.64.046608
    • A. Mahalingam and K. Porsezian, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.046608 64, 046608 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 046608
    • Mahalingam, A.1    Porsezian, K.2
  • 10
    • 0001710191 scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.60.409
    • N. Sasa and J. Satsuma, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.60.409 60, 409 (1991).
    • (1991) J. Phys. Soc. Jpn. , vol.60 , pp. 409
    • Sasa, N.1    Satsuma, J.2
  • 11
    • 25444476970 scopus 로고    scopus 로고
    • Deep Reduction of Darboux Transformation to a 3 x 3 Spectral Problem
    • DOI 10.1142/S0252959901000164
    • Y. S. Li and W. T. Han, Chin. Ann. Math. B 0252-9599 10.1142/ S0252959901000164 22, 171 (2001). (Pubitemid 33275521)
    • (2001) Chinese Annals of Mathematics. Series B , vol.22 , Issue.2 , pp. 171-176
    • Li, Y.1    Han, W.2
  • 12
    • 21944436205 scopus 로고    scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.66.2527
    • S. Y. Sakovich, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.66.2527 66, 2527 (1997).
    • (1997) J. Phys. Soc. Jpn. , vol.66 , pp. 2527
    • Sakovich, S.Y.1
  • 13
    • 4043082671 scopus 로고    scopus 로고
    • EPJBFY 1434-6028 10.1140/epjb/e2004-00199-4
    • V. I. Karpman, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2004-00199- 4 39, 341 (2004).
    • (2004) Eur. Phys. J. B , vol.39 , pp. 341
    • Karpman, V.I.1
  • 14
    • 0004836584 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/25/8/047
    • J. H. B. Nijhof and G. H. M. Roelofs, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/25/8/047 25, 2403 (1992).
    • (1992) J. Phys. A , vol.25 , pp. 2403
    • Nijhof, J.H.B.1    Roelofs, G.H.M.2
  • 15
    • 0034229812 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.62.1313
    • K. Nakkeeran, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.62.1313 62, 1313 (2000).
    • (2000) Phys. Rev. e , vol.62 , pp. 1313
    • Nakkeeran, K.1
  • 16
    • 0035475051 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.64.046611
    • K. Nakkeeran, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.046611 64, 046611 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 046611
    • Nakkeeran, K.1
  • 20
  • 23
    • 37249058537 scopus 로고    scopus 로고
    • Optical rogue waves
    • DOI 10.1038/nature06402, PII NATURE06402
    • D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature (London) NATUAS 0028-0836 10.1038/nature06402 450, 1054 (2007). (Pubitemid 350273615)
    • (2007) Nature , vol.450 , Issue.7172 , pp. 1054-1057
    • Solli, D.R.1    Ropers, C.2    Koonath, P.3    Jalali, B.4
  • 24
    • 37249061364 scopus 로고    scopus 로고
    • Photonics: Rogue waves surface in light
    • DOI 10.1038/450953a, PII 450953A
    • D-Il. Yeom and B. Eggleton, Nature (London) NATUAS 0028-0836 10.1038/450953a 450, 953 (2007). (Pubitemid 350273593)
    • (2007) Nature , vol.450 , Issue.7172 , pp. 953-954
    • Yeom, D.-I.1    Eggleton, B.J.2
  • 26
    • 79960638864 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.106.204502
    • A. Chabchoub, N. P. Hoffmann, and N. Akmediev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.204502 106, 204502 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 204502
    • Chabchoub, A.1    Hoffmann, N.P.2    Akmediev, N.3
  • 28
    • 0040621774 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(84)90827-2
    • G. Neugebauer and R. Meinel, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(84)90827-2 100, 467 (1984).
    • (1984) Phys. Lett. , vol.100 , pp. 467
    • Neugebauer, G.1    Meinel, R.2
  • 30
    • 1142291885 scopus 로고
    • Shanghai Sci.-Tech. Edu., Publishing House, Shanghai
    • Y. S. Li, Soliton and Integrable System (Shanghai Sci.-Tech. Edu., Publishing House, Shanghai, 1991).
    • (1991) Soliton and Integrable System
    • Li, Y.S.1
  • 33
    • 33846556068 scopus 로고    scopus 로고
    • Determinant representation of Darboux transformation for the AKNS system
    • DOI 10.1007/s11425-006-2025-1
    • J. S. He, L. Zhang, Y. Cheng, and Y. S. Li, Sci. China Series A 1674-7283 10.1007/s11425-006-2025-1 49, 1867 (2006). (Pubitemid 46163840)
    • (2006) Science in China, Series A: Mathematics , vol.49 , Issue.12 , pp. 1867-1878
    • He, J.1    Zhang, L.2    Cheng, Y.3    Li, Y.4
  • 34
    • 79960610970 scopus 로고    scopus 로고
    • 1751-8113 10.1088/1751-8113/44/30/305203
    • S. W. Xu, J. S. He, and L. H. Wang, J. Phys. A 1751-8113 10.1088/1751-8113/44/30/305203 44, 305203 (2011).
    • (2011) J. Phys. A , vol.44 , pp. 305203
    • Xu, S.W.1    He, J.S.2    Wang, L.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.