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Volumn 33, Issue 2, 2001, Pages 261-285

An exactly solvable model for the interaction of linear waves with Korteweg-de Vries solitons

Author keywords

Completeness relations; Coupled systems; Korteweg de Vries equation; Solitons; Wave trapping

Indexed keywords


EID: 0036045704     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141099365431     Document Type: Article
Times cited : (5)

References (10)
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  • 3
    • 36049057587 scopus 로고
    • Method for solving the Korteweg-de Vries equation
    • C. GARDNER, J. GREENE, M. KRUSKAL, AND R. MIURA, Method for solving the Korteweg-de Vries equation, Phys. Rev. Lett., 19 (1967), pp. 1095-1097.
    • (1967) Phys. Rev. Lett. , vol.19 , pp. 1095-1097
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  • 4
    • 84980193643 scopus 로고
    • Korteweg-de Vries equation and generalizations, VI. Methods for exact solution
    • C. GARDNER, J. GREENE, M. KRUSKAL, AND R. MIURA, Korteweg-de Vries equation and generalizations, VI. Methods for exact solution, Comm. Pure Appl. Math., 27 (1974), pp. 97-133.
    • (1974) Comm. Pure Appl. Math. , vol.27 , pp. 97-133
    • Gardner, C.1    Greene, J.2    Kruskal, M.3    Miura, R.4
  • 5
    • 18944408338 scopus 로고
    • Soliton solutions of a coupled Korteweg-de Vries equation
    • R. HIROTA AND J. SATSUMA, Soliton solutions of a coupled Korteweg-de Vries equation, Phys. Lett., 85A (1981), pp. 407-408.
    • (1981) Phys. Lett. , vol.85 A , pp. 407-408
    • Hirota, R.1    Satsuma, J.2
  • 6
    • 0000732670 scopus 로고
    • Reflectionless transmission through dielectrics and scattering potentials
    • I. KAY AND H. E. MOSES, Reflectionless transmission through dielectrics and scattering potentials, J. Appl. Phys., 27 (1956), pp.1503-1508.
    • (1956) J. Appl. Phys. , vol.27 , pp. 1503-1508
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  • 7
    • 0347596686 scopus 로고    scopus 로고
    • Pulses, fronts and oscillations of an elastic rod
    • J. LEGA AND A. GORIELY, Pulses, fronts and oscillations of an elastic rod, Phys. D, 132 (1999), pp. 373-391.
    • (1999) Phys. D , vol.132 , pp. 373-391
    • Lega, J.1    Goriely, A.2
  • 8
    • 0000216497 scopus 로고    scopus 로고
    • Modal expansions and completeness relations for some time-dependent Schrödinger equations
    • P. D. MILLER AND N. N. AKHMEDIEV, Modal expansions and completeness relations for some time-dependent Schrödinger equations, Phys. D, 123 (1998), pp. 513-524.
    • (1998) Phys. D , vol.123 , pp. 513-524
    • Miller, P.D.1    Akhmediev, N.N.2
  • 9
    • 0005473534 scopus 로고    scopus 로고
    • A coupled Korteweg-de Vries system and mass exchanges among solitons
    • P. D. MILLER AND P. L. CHRISTIANSEN, A coupled Korteweg-de Vries system and mass exchanges among solitons, Phys. Scripta, 61 (2000), pp. 518-525.
    • (2000) Phys. Scripta , vol.61 , pp. 518-525
    • Miller, P.D.1    Christiansen, P.L.2
  • 10
    • 0001210055 scopus 로고
    • Completeness of derivatives of squared Schrödinger eigenfunctions and explicit solutions of the linearized KdV equation
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    • (1983) SIAM J. Math. Anal. , vol.14 , pp. 674-683
    • Sachs, R.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.