J. J. C. Nimmo

Best Publications

• Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: The wronskian technique

  Unknown

  523
  Citations

• On the combinatorics of the Hirota D-operators

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  290
  Citations

• A method of obtaining the N-soliton solution of the Boussinesq equation in terms of a wronskian

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  271
  Citations

• Sasa-Satsuma higher-order nonlinear Schrödinger equation and its bilinearization and multisoliton solutions.

  C. Gilson;J. Hietarinta;J.J.C. Nimmo;Y. Ohta

  197
  Citations

• Lump solutions of the BKP equation

  C.R Gilson;J.J.C Nimmo

  187
  Citations

• Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique

  N. C. Freeman;J. J. C. Nimmo

  149
  Citations

• The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form

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  138
  Citations

• Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system

  J. J. C. Nimmo;W. K. Schief

  134
  Citations

• Hall-Littlewood symmetric functions and the BKP equation

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  108
  Citations

• On the Moutard transformation for integrable partial differential equations

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  93
  Citations

• Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation

  C.X Li;J.J.C Nimmo

  81
  Citations

• Darboux transformations and the discrete KP equation

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  69
  Citations

• Bäcklund transformations for nonlinear parabolic equations: the general results

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  67
  Citations

• Applications of Darboux transformations to the self-dual Yang-Mills equations

  J. J. C. Nimmo;C. R. Gilson;Yasuhiro Ohta

  66
  Citations

• A class of solutions of the Konopelchenko-Rogers equations

  J.J.C. Nimmo

  64
  Citations

• An Integrable Discretization of a 2+1‐dimensional Sine‐Gordon Equation

  J. J. C. Nimmo;W. K. Schief

  64
  Citations

• A (2 + 1)-dimensional generalization of the AKNS shallow water wave equation

  C.R. Gilson;J.J.C. Nimmo;R. Willox

  59
  Citations

• DARBOUX TRANSFORMATIONS FOR THE TWO-DIMENSIONAL TODA SYSTEM

  J. J. C. Nimmo;R. Willox

  59
  Citations

• Quasideterminant solutions of a non-Abelian Hirota–Miwa equation

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  54
  Citations

• Darboux transformations for discrete systems

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  47
  Citations