English

Zero Curvature and generalization of Painlev\'e equation from AKNS/Lund-Regge model

Exactly Solvable and Integrable Systems 2013-03-14 v2

Abstract

We explain the relation between the mixed mKdV/sinh-Gordon model and the Kudryashov's equation. Then, we use the mixed AKNS/Lund-Regge model to find a system of ODEs which is candidate to define a new transcendental function. We also applied the perturbative Painlev\'e test and presented the local representation for the solution of the system.

Keywords

Cite

@article{arxiv.1206.1037,
  title  = {Zero Curvature and generalization of Painlev\'e equation from AKNS/Lund-Regge model},
  author = {Danilo V. Ruy and Genilson R. de Melo},
  journal= {arXiv preprint arXiv:1206.1037},
  year   = {2013}
}

Comments

This paper has been withdrawn by the author due to a crucial misinterpretation of the results