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Volumn 56, Issue 4, 2003, Pages 517-548

Long-Time Asymptotics of Moving Boundary Problems Using an Ehrenpreis-Type Representation and Its Riemann-Hilbert Nonlinearization

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EID: 2442452656     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.10066     Document Type: Article
Times cited : (9)

References (18)
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    • translation
    • Fokas, A. S.; Itṡ, A. R. An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Teoret. Mat. Fiz. 92 (1992), no. 3, 387-403; translation in Theoret. and Math. Phys. 92 (1992), no. 3, 964-978.
    • (1992) Theoret. and Math. Phys. , vol.92 , Issue.3 , pp. 964-978
  • 9
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    • An initial-boundary value problem for the Korteweg-de Vries equation
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    • Fokas, A.S.1    Its, A.R.2
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    • The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation
    • Fokas, A. S.; Its, A. R. The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. SIAM J. Math. Anal. 27 (1996), no. 3, 738-764.
    • (1996) SIAM J. Math. Anal. , vol.27 , Issue.3 , pp. 738-764
    • Fokas, A.S.1    Its, A.R.2
  • 12
    • 0000356019 scopus 로고    scopus 로고
    • Method for solving moving boundary value problems for linear evolution equations
    • Fokas, A. S.; Pelloni, B. Method for solving moving boundary value problems for linear evolution equations. Phys. Rev. Lett. 84 (2000), no. 21, 4785-4789.
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    • Fokas, A.S.1    Pelloni, B.2
  • 13
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    • Integrable evolution equations in time-dependent domains
    • Fokas, A. S.; Pelloni, B. Integrable evolution equations in time-dependent domains. Inverse Problems 17 (2001), no. 4, 919-935.
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    • Asymptotic behavior of the solutions to the nonlinear Schrödinger equation, and isomonodromic deformations of systems of linear differential equations
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    • (1981) Dokl. Akad. Nauk SSSR , vol.261 , Issue.1 , pp. 14-18
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  • 17
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    • translation
    • Itṡ, A. R. Asymptotic behavior of the solutions to the nonlinear Schrödinger equation, and isomonodromic deformations of systems of linear differential equations. Dokl. Akad. Nauk SSSR 261 (1981), no. 1, 14-18; translation in Soviet Math. Dokl. 24 (1981), 452-456.
    • (1981) Soviet Math. Dokl. , vol.24 , pp. 452-456


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