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References

  1. T. B. Benjamin, J. L. Bona and J. J. Mahony,Model equations for long waves in nonlinear dispersive systems, Philos. Trans. Roy. Soc. London, 272, 47–78 (1972).

    MATH  MathSciNet  Google Scholar 

  2. T. B. Benjamin,Lectures on nonlinear wave motion. Nonlinear wave motion. AMS, Edited by A. C. Newell, Vol. 15, (1974).

  3. A. Erdêlyi,Asymptotic expansions, Dover Publ. Inc. N.Y. (1956).

    MATH  Google Scholar 

  4. L. A. Medeiros and M. Milla Miranda,Weak solutions for a nonlinear dispersive equation, J. Math. Anal. Appl. (to appear).

  5. L. A. Medeiros and G. Perla Menzala,Existence and uniqueness for periodic solutions of the Benjamin-Bona-Mahony equation, SIAM J. Math. Anal. (to appear).

  6. B. P. Neves,Sur un problèm non linéaire d'évolution, C. R. Acad. Sc. Paris, Scéance du 16 juin 1975.

  7. M. A. Raupp,Galerkin method for the Benjamin-Bona-Mahony equation, Bol. Soc. Brasil. Mat. (to appear).

  8. R. Showalter,A Sobolev equation for long waves in nonlinear dispersive systems (to appear).

  9. S. Sobolev,Some new problems in mathematical physics, Izv. Akad. Nauk. SSSR, Ser. Mat., 18, 3–50, (1954).

    MathSciNet  Google Scholar 

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Medeiros, L.A., Perla Menzala, G. On global solutions of a nonlinear dispersive equation of Sobolev type. Bol. Soc. Bras. Mat 9, 49–59 (1978). https://doi.org/10.1007/BF02584793

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  • DOI: https://doi.org/10.1007/BF02584793

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