References

THE LONG TIME BEHAVIOUR OF SOLUTIONS FOR AN IMPROVED BOUSSINESQ SYSTEM


[1] J. L. Bona and R. L. Sachs, Global existence of smooth solutions and solitary waves for a generalized Boussinesq equation, Comm. Math. Phys. 118 (1998), 15-29.

[2] J. L. Bona, M. Chen and J. C. Saut, Boussinesq equations and other system for small-amplitude long waves in nonlinear dispersive media I: Derivation and the linear theory, J. Nonlinear Sci. 12 (2002), 283-318.

[3] J. L. Bona, M. Chen and J. C. Saut, Boussinesq equations and other system for small-amplitude long waves in nonlinear dispersive media II: The nonlinear theory, Nonlinearity 17 (2004), 925-952.

[4] S. Y. Lai and Y. H. Wu, The asymptotic solution of the Cauchy problem for a generalized Boussinesq equation, Discrete and Continuous Dynamical Systems-B 3 (2003), 401-408.

[5] P. Necat et al., Blow up of solutions for the damped Boussinesq equation, Z. Naturforsch A 64 (2005), 1-4.

[6] P. Rosenau, On nonanalytic solitary waves formed by a nonlinear dispersion, Physics Letters A 230 (1997), 305-318.

[7] R. Y. Xue, Local and global existence of solutions for the Cauchy problem of a generalized Boussinesq equation, J. Math. Anal. Appl. 316 (2006), 307-327.