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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the mKdV-Liouville hierarchy and its self-similarity reduction

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Author(s):
Ruy, Danilo V. [1]
Total Authors: 1
Affiliation:
[1] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo - Brazil
Total Affiliations: 1
Document type: Journal article
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 20, n. 1, p. 113-120, JAN 2015.
Web of Science Citations: 0
Abstract

Integrable mixed models have been used as a generalization of traditional integrable models. However, a map from a traditional integrable model to a mixed integrable model is not well understood yet. Here, it is studied the relation between the mKdV-Liouville hierarchy and the mKdV hierarchy by employing an extended version of the modified truncation approach. This paper shows some solutions for the mKdV-Liouville hierarchy constructed from the soliton solutions of the mKdV hierarchy. The last section deals with the possibility of define new transcendental functions from the self-similarity reduction of the mKdV-Liouville hierarchy. (C) 2014 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 10/18110-9 - Integrable Origin of Higher Order Painlevé Equations
Grantee:Danilo Virges Ruy
Support Opportunities: Scholarships in Brazil - Doctorate