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Volumn 25, Issue 8, 1984, Pages 2494-2505

On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001465096     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.526471     Document Type: Article
Times cited : (191)

References (57)
  • 3
    • 85034722887 scopus 로고
    • On the Inverse Scattering of the Time Dependent SchrÖdinger Equation and the Associated KPI Equation
    • I. N.S. #22, Nov.Stud. Appl. Math. (to be published)
    • (1982)
    • Fokas, A.S.1    Ablowitz, M.J.2
  • 5
    • 0001837924 scopus 로고
    • On the Inverse Scattering of First Order Systems in the Plane Related to Nonlinear Multidimensional Equations
    • (1983) Phys. Rev. Lett , vol.51 , pp. 3-6
    • Fokas, A.S.1
  • 29
    • 84951342155 scopus 로고    scopus 로고
    • RIMS Preprints 359, 360.
  • 46
    • 84914745517 scopus 로고
    • Scattering, Transformations Spectrals, et Nonlinear Equations of Evolution
    • Seminaire Goulaoric-Meyer-Schwartz, exp. 22, Ecole Polytechnique, Palaiseau
    • (1980)
    • Beals, R.1    Coifman, R.R.2
  • 48
    • 84914745517 scopus 로고
    • Scattering, Transformations Spectrals, and Nonlinear Equations of Evolution
    • Seminaire Goulaoric-Meyer-Schwartz, exp. 21, Ecole Polytechnique, Palaiseau
    • (1981)
    • Beals, R.1    Coifman, R.R.2
  • 57
    • 85034730344 scopus 로고    scopus 로고
    • In both cases of BO as well as KPI the analog of Eq. (4.3) depends analytically on κ and hence the corresponding eigenfunctions could only admit poles in κ. In contrast to the above [formula omitted] does not depend analytically on κ. However, we still assume that the singularities of [formula omitted] take the form of poles in κ. This must be investigated further to establish whether any other functional form is possible.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.