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New no-traveling wave solutions for the Liouville equation by Bäcklund transformation method

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Abstract

With the aid of the known Bäcklund transformation, starting from some given traveling solutions, we consider new exact no-traveling wave solutions to the Liouville equation, and a series of breather soliton solutions, doubly periodic solutions, two-soliton solutions as well as periodic-soliton solutions are obtained.

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Acknowledgements

This work was supported by the Chinese Natural Science Foundation Grant (11261001) and Yunnan Provincial Department of Education Research Foundation Grant (2012Y130).

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  1. Department of Mathematics, Chuxiong Normal University, Chuxiong, 675000, P.R. China

    Ying Huang

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  1. Ying Huang
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Correspondence to Ying Huang.

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Huang, Y. New no-traveling wave solutions for the Liouville equation by Bäcklund transformation method. Nonlinear Dyn 72, 87–90 (2013). https://doi.org/10.1007/s11071-012-0692-8

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  • DOI: https://doi.org/10.1007/s11071-012-0692-8

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