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arXiv · 1609.04429

Extended Harmonic Map Equations and the Chaotic Soliton Solutions

Gang Ren·Yi-Shi Duan
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Abstract

In this paper, the theory of harmonic maps is extended. The soliton or traveling wave solutions of Euler's equations of the extended harmonic maps are studied. In certain cases, the chaotic behaviors of these partial equations can be found for the particular case of the metrics and the potential functions of the extended harmonic equations.

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Gang Ren, Yi-Shi Duan. 2016-09-06. Extended Harmonic Map Equations and the Chaotic Soliton Solutions. https://arxiv.org/abs/1609.04429

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