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Works cited by this work

15 works

Work: Cauchy Problem for the Loaded Korteweg–de Vries Equation in the Class of Periodic Functions

  1. Method for Solving the Korteweg-deVries Equation

    Clifford S. Gardner, J. M. Greene, Martin D. Kruskal +1

    Article196758 citations
    ABI

  2. Integrals of nonlinear equations of evolution and solitary waves

    Peter D. Lax

    Article196848 citations
    ABI

  3. The inverse problem for periodic potentials

    Eugene Trubowitz

    Article197737 citations
    ABI

  4. ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION

    A. O. Smirnov

    Article199527 citations
    ABI

  5. Schrödinger operators with finite-gap spectrum and N-soliton solutions of the Korteweg-de Vries equation

    A. R. Its, V. B. Matveev

    Article197525 citations
    ABI

  6. Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential

    А. Б. Хасанов, A. B. Yakhshimuratov

    ArticleSpectral Theory in Mathematical PhysicsDifferential Equations201521 citations
    ABI

  7. Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe: Bestimmung der Differentialgleichung durch die Eigenwerte

    G.J.A. Borg

    Article194619 citations
    ABI

  8. On the inverse problem for Hill's operator

    H. Flaschka

    Article197518 citations
    ABI

  9. Almost Periodic Solutions of the KdV Equation

    Peter D. Lax

    Article197618 citations
    ABI

  10. Periodic problems for the Korteweg — de Vries equation in the class of finite band potentials

    Boris Dubrovin

    Article197514 citations
    ABI

  11. A generalization of Borg's inverse theorem for Hill's equations

    Harry Hochstadt

    Article198412 citations
    ABI

  12. The spectrum of Hill's equation

    H. P. McKean, Pierre van Moerbeke

    Article197511 citations
    ABI

  13. Eigenfunction expansions associated with second-order differential equations

    E. C. Titchmarsh

    Book194611 citations
    ABI

  14. On the determination of a Hill's equation from its spectrum

    Harry Hochstadt

    Article19657 citations
    ABI

  15. Meromorphic extension of solutions of soliton equations

    A. V. Domrin

    Article20105 citations
    ABI