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

Danilo V. Ruy

doi:10.1016/j.cnsns.2014.05.011

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arXiv · 1406.5775

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

Danilo V. Ruy

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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.

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Danilo V. Ruy. 2014-06-22. On the mKdV-Liouville hierarchy and its self-similarity reduction. https://doi.org/10.1016/j.cnsns.2014.05.011

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