The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method

By V. O. Vakhnenko, E. Parkes. 2002

136 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ce6144d453f6d6e5d514947f94db1df19eda2aaf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Panayotis G. Kevrekidis
2. Atanas Stefanov
3. Yannan Shen
4. Lorenzo di Ruvo
5. Giuseppe Maria Coclite
6. E. Parkes
7. V. O. Vakhnenko

In Statistical and Nonlinear Physics

1. Atanas Stefanov
2. Panayotis G. Kevrekidis
3. Yannan Shen
4. E. Parkes
5. Giuseppe Maria Coclite
6. Lorenzo di Ruvo
7. V. O. Vakhnenko
8. Jonatan Lenells

Citations in the corpus

• Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one (2013, background): “4) is known under different names such as the reduced Ostrovsky equation [19, 22], the Ostrovsky-Hunter equation [1], the short-wave equation [7], and the Vakhnenko equation [16, 20].”
• Periodic and solitary-wave solutions of the Degasperis-Procesi equation (2004, background): “and subsequently investigated some of its properties [6–10].”
• Well-posedness and small data scattering for the generalized Ostrovsky equation ✩ (2010, methodology): “as reduced Ostrovsky equation [2,3], short-wave equation [4], Ostrovsky–Hunter equation [5], or Vakhnenko equation [6,7].”