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Works cited by this work

20 works

Work: Cauchy Problem for the Korteweg–De Vries Equation in the Class of Periodic Infinite-Gap 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. Spectral conservation laws for periodic nonlinear equations of the Melnikov type

    P. G. Grinevich, I. A. Taĭmanov

    Other200839 citations
    ABI

  4. The inverse problem for periodic potentials

    Eugene Trubowitz

    Article197737 citations
    ABI

  5. The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions

    А. Б. Хасанов, A. B. Yakhshimuratov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics201027 citations
    ABI

  6. 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

  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. Inverse Sturm-Liouville Problems

    B. M. Levitan

    Book198717 citations
    ABI

  11. 30 years of finite-gap integration theory

    V. B. Matveev

    Article200715 citations
    ABI

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

    Boris Dubrovin

    Article197514 citations
    ABI

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

    Harry Hochstadt

    Article198412 citations
    ABI

  14. The spectrum of Hill's equation

    H. P. McKean, Pierre van Moerbeke

    Article197511 citations
    ABI

  15. PERIODIC AND CONDITIONALLY PERIODIC ANALOGS OF THE MANY-SOLITON SOLUTIONS OF THE KORTEWEG-DE VRIES EQUATION

    Boris Dubrovin, S P Novikov

    Article197411 citations
    ABI

  16. Eigenfunction expansions associated with second-order differential equations

    E. C. Titchmarsh

    Book194611 citations
    ABI

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

    Harry Hochstadt

    Article19657 citations
    ABI

  18. Meromorphic extension of solutions of soliton equations

    A. V. Domrin

    Article20105 citations
    ABI

  19. Geometry, Topology, and Mathematical Physics

    Buchštaber, Viktor Matveevič 1943-

    Book20082 citations
    ABI

  20. Untitled

    Other1 citations
    ABI