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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika

TMF, 1987, Volume 72, Number 3, Pages 352–360 (Mi tmf5336)

Qualitative analysis and calculations of finite-gap solutions of the Korteweg–de Vries equation. Automorphic approach
A. I. Bobenko, D. A. Kubenskii

This publication is cited in the following articles:
  1. A.R. Osborne, “Rogue waves: Classification, measurement and data analysis, and hyperfast numerical modeling”, Eur. Phys. J. Spec. Top., 185:1 (2010), 225  crossref
  2. International Geophysics, 97, Nonlinear Ocean Waves and the Inverse Scattering Transform, 2010, 877  crossref
  3. Alfred R. Osborne, International Geophysics, 97, Nonlinear Ocean Waves and the Inverse Scattering Transform, 2010, 353  crossref
  4. A. R. Osborne, M. Petti, “Laboratory-generated, shallow-water surface waves: Analysis using the periodic, inverse scattering transform”, Physics of Fluids, 6:5 (1994), 1727  crossref
  5. A. R. Osborne, “Numerical construction of nonlinear wave-train solutions of the periodic Korteweg–de Vries equation”, Phys. Rev. E, 48:1 (1993), 296  crossref
  6. North-Holland Mathematics Studies, 167, Topics in Soliton Theory, 1991, 397  crossref
  7. A.I. Bobenko, S.B. Kuksin, “Finite-gap periodic solutions of the KdV equation are non-degenerate”, Physics Letters A, 161:3 (1991), 274  crossref
  8. A.R. Osborne, E. Segre, “Numerical solutions of the Korteweg-de Vries equation using the periodic scattering transform μ-representation”, Physica D: Nonlinear Phenomena, 44:3 (1990), 575  crossref
  9. A. I. Bobenko, L. A. Bordag, “Qualitative analysis of finite-gap solutions of the Kg? equation by the automorphic approach”, J Math Sci, 50:6 (1990), 1951  crossref


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