메뉴 건너뛰기




Volumn 16, Issue 1, 2005, Pages 65-81

Ostrovsky and Hunter's generic wave equation for weakly dispersive waves: Matched asymptotic and pseudospectral study of the paraboloidal travelling waves (corner and near-corner waves)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21144438883     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0956792504005625     Document Type: Article
Times cited : (49)

References (21)
  • 2
    • 0000788656 scopus 로고
    • Solitons from sine waves: Analytical and numerical methods for nonintegrable solitary and cnoidal waves
    • BOYD, J. P. (1986) Solitons from sine waves: analytical and numerical methods for nonintegrable solitary and cnoidal waves. Physica D, 21, 227-246.
    • (1986) Physica D , vol.21 , pp. 227-246
    • Boyd, J.P.1
  • 3
    • 0348000810 scopus 로고
    • The arctan/tan and Kepler-Burger mappings for periodic solutions with a shock, front, or internal boundary layer
    • BOYD, J. P. (1992) The arctan/tan and Kepler-Burger mappings for periodic solutions with a shock, front, or internal boundary layer. J. Computational Phys. 98, 181-193.
    • (1992) J. Computational Phys. , vol.98 , pp. 181-193
    • Boyd, J.P.1
  • 5
    • 15744372882 scopus 로고    scopus 로고
    • Fourier pseudospectral method with Kepler mapping for travelling waves with discontinuous slope: Application to corner waves of the Ostrovsky-Hunter equation and equatorial Kelvin waves in the four-mode approximation
    • Submitted
    • BOYD, J. P. (2003) Fourier pseudospectral method with Kepler mapping for travelling waves with discontinuous slope: Application to corner waves of the Ostrovsky-Hunter equation and equatorial Kelvin waves in the four-mode approximation. Math. Comp. Submitted.
    • (2003) Math. Comp.
    • Boyd, J.P.1
  • 6
    • 0038454612 scopus 로고    scopus 로고
    • A Legendre pseudospectral method for computing travelling waves with corners (slope discontinuities) in one space dimension with application to Whitham's equation family
    • BOYD, J. P. (2003) A Legendre pseudospectral method for computing travelling waves with corners (slope discontinuities) in one space dimension with application to Whitham's equation family. J. Comput. Phys. 189, 98-110.
    • (2003) J. Comput. Phys. , vol.189 , pp. 98-110
    • Boyd, J.P.1
  • 7
    • 0036466870 scopus 로고    scopus 로고
    • Five regimes of the quasi-cnoidal, steadily-translating waves of the Rotation-Modified Korteweg-deVries ('Ostrovsky') equation
    • BOYD, J. P. & CHEN, G.-Y. (2001) Five regimes of the quasi-cnoidal, steadily-translating waves of the Rotation-Modified Korteweg-deVries ('Ostrovsky') equation. Wave Motion, 35, 141-155.
    • (2001) Wave Motion , vol.35 , pp. 141-155
    • Boyd, J.P.1    Chen, G.-Y.2
  • 8
    • 0035879405 scopus 로고    scopus 로고
    • Analytical and numerical studies of weakly nonlocal solitary waves of the Rotation-Modified Korteweg-deVries equation
    • CHEN, G.-Y. & BOYD, J. P. (2001) Analytical and numerical studies of weakly nonlocal solitary waves of the Rotation-Modified Korteweg-deVries equation. Physica D, 155, 201-222.
    • (2001) Physica D , vol.155 , pp. 201-222
    • Chen, G.-Y.1    Boyd, J.P.2
  • 9
    • 0038243570 scopus 로고    scopus 로고
    • Nonlinear wave packets of equatorial Kelvin waves
    • CHEN, G.-Y. & BOYD, J. P. (2002) Nonlinear wave packets of equatorial Kelvin waves. Geophys. Astrophys. Fluid Dyn. 96, 357-379.
    • (2002) Geophys. Astrophys. Fluid Dyn. , vol.96 , pp. 357-379
    • Chen, G.-Y.1    Boyd, J.P.2
  • 10
    • 0038243571 scopus 로고
    • On Whitham's equation
    • GABOV, S. (1978) On Whitham's equation. Soviet Math. Dokl. 19 1225-1229.
    • (1978) Soviet Math. Dokl. , vol.19 , pp. 1225-1229
    • Gabov, S.1
  • 11
    • 0008072414 scopus 로고    scopus 로고
    • Terminal damping of a solitary wave due to radiation in rotational systems
    • GRIMSHAW, R. H. J., HE, J.-M. & OSTROVSKY, L. A. (1998) Terminal damping of a solitary wave due to radiation in rotational systems. Stud. Appl. Math. 101, 197-210.
    • (1998) Stud. Appl. Math. , vol.101 , pp. 197-210
    • Grimshaw, R.H.J.1    He, J.-M.2    Ostrovsky, L.A.3
  • 13
    • 0004643910 scopus 로고
    • Numerical solutions of some nonlinear dispersive wave equations
    • HUNTER, J. K. (1990) Numerical solutions of some nonlinear dispersive wave equations. Lectures in Appl. Math. 26, 301-316.
    • (1990) Lectures in Appl. Math. , vol.26 , pp. 301-316
    • Hunter, J.K.1
  • 15
    • 0000401372 scopus 로고
    • Nonlinear internal waves in a rotation ocean
    • OSTROVSKY, L. A. (1978) Nonlinear internal waves in a rotation ocean. Oceanology, 18, 181-191.
    • (1978) Oceanology , vol.18 , pp. 181-191
    • Ostrovsky, L.A.1
  • 16
    • 0039830700 scopus 로고
    • Some explicit resonating waves in weakly nonlinear gas dynamics
    • PEGO, R. L. (1988) Some explicit resonating waves in weakly nonlinear gas dynamics. Stud. Appl. Math. 79, 263-270.
    • (1988) Stud. Appl. Math. , vol.79 , pp. 263-270
    • Pego, R.L.1
  • 17
    • 0036425054 scopus 로고    scopus 로고
    • Resonant triads involving a nondispersive wave
    • ROSALES, R. R., TABAK, E. G. & TURNER, C. V. (2002) Resonant triads involving a nondispersive wave. Stud. Appl. Math. 108, 105-122.
    • (2002) Stud. Appl. Math. , vol.108 , pp. 105-122
    • Rosales, R.R.1    Tabak, E.G.2    Turner, C.V.3
  • 18
    • 0000311896 scopus 로고    scopus 로고
    • Quasiperiodic solutions in weakly nonlinear gas dynamics. Part I. Numerical results in the inviscid case
    • SHEFTER, M. & ROSALES, R. R. (1999) Quasiperiodic solutions in weakly nonlinear gas dynamics. Part I. Numerical results in the inviscid case. Stud. Appl. Math. 103, 279-337.
    • (1999) Stud. Appl. Math. , vol.103 , pp. 279-337
    • Shefter, M.1    Rosales, R.R.2
  • 20
    • 0028499433 scopus 로고
    • Nineteenth-century roots of the boundary-layer idea
    • VAN DYKE, M. (1994) Nineteenth-century roots of the boundary-layer idea. SIAM Rev. 36, 415-424.
    • (1994) SIAM Rev. , vol.36 , pp. 415-424
    • Van Dyke, M.1
  • 21
    • 0000422597 scopus 로고
    • Variational methods and applications to water waves
    • WHITHAM, G. B. (1967) Variational methods and applications to water waves. Proc. R. Soc. Lond. A, 299, 6-25.
    • (1967) Proc. R. Soc. Lond. A , vol.299 , pp. 6-25
    • Whitham, G.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.