메뉴 건너뛰기




Volumn 114, Issue 2, 2005, Pages 189-210

Short-lived large-amplitude pulses in the nonlinear long-wave model described by the modified Korteweg-de vries equation

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE PROBLEMS; KORTEWEG-DE VRIES EQUATION;

EID: 12844257603     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0022-2526.2005.01544.x     Document Type: Article
Times cited : (41)

References (25)
  • 3
    • 0027790505 scopus 로고
    • The dynamics of long frontal waves in the shallow-water equations
    • J. NYCANDER, D. G. DRITSCHEL, and G. G. SUTYRIN, The dynamics of long frontal waves in the shallow-water equations, Phys. Fluids A5(5):1089-1091 (1993).
    • (1993) Phys. Fluids , vol.A5 , Issue.5 , pp. 1089-1091
    • Nycander, J.1    Dritschel, D.G.2    Sutyrin, G.G.3
  • 4
    • 34249769866 scopus 로고
    • Predicting eddy detachment for an equivalent barotropic thin jet
    • E. A. RALPH and L. PRATT, Predicting eddy detachment for an equivalent barotropic thin jet, J. Nonlinear Sci. 4(4):355-374 (1994).
    • (1994) J. Nonlinear Sci. , vol.4 , Issue.4 , pp. 355-374
    • Ralph, E.A.1    Pratt, L.2
  • 5
    • 0031393657 scopus 로고    scopus 로고
    • The modified Korteweg-de Vries equation in the theory of large-amplitude internal waves
    • R. GRIMSHAW, E. PELINOVSKY, and T. TALIPOVA, The modified Korteweg-de Vries equation in the theory of large-amplitude internal waves, Nonlinear Proc. Geophys. 4(4):237-350 (1997).
    • (1997) Nonlinear Proc. Geophys. , vol.4 , Issue.4 , pp. 237-350
    • Grimshaw, R.1    Pelinovsky, E.2    Talipova, T.3
  • 6
    • 0033247919 scopus 로고    scopus 로고
    • Cubic nonlinearity effects in the propagation of intense internal waves
    • T. TALIPOVA, E. PELINOVSKY, K. LAMB, R. GRIMSHAW, and P. HOLLOWAY, Cubic nonlinearity effects in the propagation of intense internal waves, Doklady Earth Sci. 365(2):241-244 (1999).
    • (1999) Doklady Earth Sci. , vol.365 , Issue.2 , pp. 241-244
    • Talipova, T.1    Pelinovsky, E.2    Lamb, K.3    Grimshaw, R.4    Holloway, P.5
  • 7
    • 0000985657 scopus 로고
    • Weak non-linear hydromagnetic waves in a cold collision-free plasma
    • T. KAKUTANI and H. ONO, Weak non-linear hydromagnetic waves in a cold collision-free plasma, J. Phys. Soc. Jpn. 26(5):1305-1318 (1969).
    • (1969) J. Phys. Soc. Jpn. , vol.26 , Issue.5 , pp. 1305-1318
    • Kakutani, T.1    Ono, H.2
  • 8
    • 84861249500 scopus 로고
    • Nonlinear Alfvén waves and the DNLS equation: Oblique aspects
    • E. MJØLHUS, Nonlinear Alfvén waves and the DNLS equation: Oblique aspects, Physica Scripta 40:227-237 (1989).
    • (1989) Physica Scripta , vol.40 , pp. 227-237
    • Mjølhus, E.1
  • 9
    • 0013178866 scopus 로고    scopus 로고
    • Soliton theory of quasi-parallel MHD waves
    • (T. Hada and H. Matsumoto, Eds.), TERRAPUB, Tokyo
    • E. MJØLHUS and T. HADA, Soliton theory of quasi-parallel MHD waves. In Nonlinear Waves and Chaos in Solar Plasmas (T. Hada and H. Matsumoto, Eds.), TERRAPUB, Tokyo, 121-169 (1997).
    • (1997) Nonlinear Waves and Chaos in Solar Plasmas , pp. 121-169
    • Mjølhus, E.1    Hada, T.2
  • 10
    • 0035400885 scopus 로고    scopus 로고
    • On the propagation of nonlinear solitary waves in a distributed Schottky barrier diode transmission line
    • V. ZIEGER, J. DINKEL, C. SETZER, and K. LONNGREN, On the propagation of nonlinear solitary waves in a distributed Schottky barrier diode transmission line, Chaos, Solitons and Fractals 12:1719-1728 (2001).
    • (2001) Chaos, Solitons and Fractals , vol.12 , pp. 1719-1728
    • Zieger, V.1    Dinkel, J.2    Setzer, C.3    Lonngren, K.4
  • 11
    • 0036249366 scopus 로고    scopus 로고
    • Positons: Slowly decreasing analogues of solitons
    • V. B. MATVEEV, Positons: Slowly decreasing analogues of solitons, Theor. Math. Phys. 131(1):483-497 (2002).
    • (2002) Theor. Math. Phys. , vol.131 , Issue.1 , pp. 483-497
    • Matveev, V.B.1
  • 12
    • 0141996325 scopus 로고    scopus 로고
    • A study on compacton-like solutions for the modified KdV and fifth-order KdV-like equations
    • A-M. Wazwaz, A study on compacton-like solutions for the modified KdV and fifth-order KdV-like equations, Appl. Math. Comput. 147:439-447 (2003).
    • (2003) Appl. Math. Comput. , vol.147 , pp. 439-447
    • Wazwaz, A.-M.1
  • 13
    • 0034195437 scopus 로고    scopus 로고
    • On the generation of solitons and breathers in the modified Korteweg-de Vries equation
    • S. CLARKE, R. GRIMSHAW, P. MILLER, E. PELINOVSKY, and T. TALIPOVA, On the generation of solitons and breathers in the modified Korteweg-de Vries equation, Chaos 10(2):383-392 (2000).
    • (2000) Chaos , vol.10 , Issue.2 , pp. 383-392
    • Clarke, S.1    Grimshaw, R.2    Miller, P.3    Pelinovsky, E.4    Talipova, T.5
  • 14
    • 12844255779 scopus 로고
    • Modulational instability of cnoidal wave solutions of the modified Korteweg-de Vries equation
    • C. F. DRISCOLL and T. M. O'NEIL, Modulational instability of cnoidal wave solutions of the modified Korteweg-de Vries equation, J. Math. Phys. 17:1196-1200 (1976).
    • (1976) J. Math. Phys. , vol.17 , pp. 1196-1200
    • Driscoll, C.F.1    O'neil, T.M.2
  • 15
    • 0001213904 scopus 로고
    • The modulation of weakly non-linear dispersive waves near the marginal state of instability
    • E. J. PARKES, The modulation of weakly non-linear dispersive waves near the marginal state of instability, J. Phys. A 20:2025-2036 (1987).
    • (1987) J. Phys. A , vol.20 , pp. 2025-2036
    • Parkes, E.J.1
  • 16
    • 0035499790 scopus 로고    scopus 로고
    • Wave group dynamics in weakly nonlinear long-wave models
    • R. GRIMSHAW, D. PELINOVSKY, E. PELINOVSKY, and T. TALIPOVA, Wave group dynamics in weakly nonlinear long-wave models, Physica. D 159(1-2):35-57 (2001).
    • (2001) Physica. D , vol.159 , Issue.1-2 , pp. 35-57
    • Grimshaw, R.1    Pelinovsky, D.2    Pelinovsky, E.3    Talipova, T.4
  • 17
    • 0346967121 scopus 로고    scopus 로고
    • Note on breather type solutions of the NLS as a model for freak waves
    • K. B. DYSTHE and K. TRULSEN, Note on breather type solutions of the NLS as a model for freak waves, Physica Scripta 182:48-52 (1999).
    • (1999) Physica Scripta , vol.182 , pp. 48-52
    • Dysthe, K.B.1    Trulsen, K.2
  • 18
    • 0034706493 scopus 로고    scopus 로고
    • The nonlinear dynamics of rogue waves and holes in deep-water gravity wave train
    • A. R. OSBORNE, M. ONORATO, and M. SERIO, The nonlinear dynamics of rogue waves and holes in deep-water gravity wave train, Phys. Lett. A 275:386-393 (2000).
    • (2000) Phys. Lett. A , vol.275 , pp. 386-393
    • Osborne, A.R.1    Onorato, M.2    Serio, M.3
  • 19
    • 18244424907 scopus 로고    scopus 로고
    • Long-time dynamics of the modulational instability of deep water waves
    • M. I. ABLOWITZ, J. HAMMACK, D. HENDERSON, and C. M. SCHOBER, Long-time dynamics of the modulational instability of deep water waves. Physica. D 152-153:416-433 (2001).
    • (2001) Physica. D , vol.152-153 , pp. 416-433
    • Ablowitz, M.I.1    Hammack, J.2    Henderson, D.3    Schober, C.M.4
  • 20
    • 0001353907 scopus 로고    scopus 로고
    • Focusing of nonlinear wave groups in deep water
    • C. KHARIF, E. PELINOVSKY, T. TALIPOVA, and A. SLUNYAEV, Focusing of nonlinear wave groups in deep water, JETP Lett. 73(4):170-175 (2001).
    • (2001) JETP Lett. , vol.73 , Issue.4 , pp. 170-175
    • Kharif, C.1    Pelinovsky, E.2    Talipova, T.3    Slunyaev, A.4
  • 21
    • 0037124361 scopus 로고    scopus 로고
    • Homoclinic chaos increases the likelihood of rogue wave formation
    • A. CALINI and C. M. SCHOBER, Homoclinic chaos increases the likelihood of rogue wave formation. Phys. Lett. A 298:335-349 (2002).
    • (2002) Phys. Lett. A , vol.298 , pp. 335-349
    • Calini, A.1    Schober, C.M.2
  • 23
    • 3042781172 scopus 로고    scopus 로고
    • Physical mechanisms of the rogue wave phenomenon
    • C. KHARIF, E. PELINOVSKY, Physical mechanisms of the rogue wave phenomenon, Eur. J. Mech./B-Fluid 22(6):603-634 (2003).
    • (2003) Eur. J. Mech./B-fluid , vol.22 , Issue.6 , pp. 603-634
    • Kharif, C.1    Pelinovsky, E.2
  • 24
    • 0040515945 scopus 로고    scopus 로고
    • Nonlinear dispersive mechanism of the freak wave formation in shallow water
    • E. PELINOVSKY, T. TALIPOVA, and C. KHARIF, Nonlinear dispersive mechanism of the freak wave formation in shallow water, Physica D 147:83-94 (2000).
    • (2000) Physica D , vol.147 , pp. 83-94
    • Pelinovsky, E.1    Talipova, T.2    Kharif, C.3
  • 25
    • 0038559361 scopus 로고
    • Dispersive blowup of solutions of generalized Korteweg-de Vries equations
    • J. L. BONA and J.-C SAUT, Dispersive blowup of solutions of generalized Korteweg-de Vries equations. J. Differ. Equations 103(1): 3-57 (1993).
    • (1993) J. Differ. Equations , vol.103 , Issue.1 , pp. 3-57
    • Bona, J.L.1    Saut, J.-C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.