On the mKdV-Liouville hierarchy and its self-similarity reduction
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Elsevier B.V.
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Article
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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.
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Keywords
mKdV-sinh-Gordon, mKdV-Liouville, mKdV, Modified truncation approach, Painleve, Transcendental function
Language
English
Citation
Communications In Nonlinear Science And Numerical Simulation. Amsterdam: Elsevier Science Bv, v. 20, n. 1, p. 113-120, 2015.
