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Exact Periodic Solutions to Generalized BBM Equation and Relevant Conclusions

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Abstract

In this paper, we consider generalized BBM equation with nonlinear terms of high order. In the case of p=1/2, p=1 and p=2, the exact periodic solutions to G-BBM equation are obtained by means of proper transformation, which degrades the order of nonlinear terms. And we prove that if p ≠ 1/2, p ≠ 1 or p ≠ 2, G-BBM equation does not exist this kind of periodic solution.

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Authors and Affiliations

  1. University of Shanghai for Science and Technology, Shanghai, 200093, China

    Jun-ying An & Wei-guo Zhang

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  1. Jun-ying An
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  2. Wei-guo Zhang
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Correspondence to Jun-ying An.

Additional information

Supported by the National Science Foundation of Shanghai (No.03ZR14070) and Shanghai Leading Academic Discipline Project (No.TO502).

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An, Jy., Zhang, Wg. Exact Periodic Solutions to Generalized BBM Equation and Relevant Conclusions. Acta Math. Appl. Sin, Engl. Ser. 22, 509–516 (2006). https://doi.org/10.1007/s10255-006-0326-3

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  • DOI: https://doi.org/10.1007/s10255-006-0326-3

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