Publication Cover
Applicable Analysis
An International Journal
Volume 36, 1990 - Issue 3-4
89
Views
29
CrossRef citations to date
0
Altmetric
Original Articles

On the Blow-up of Certain Solutions of the “Good” Boussinesq Equation

Pages 145-152 | Received 06 Sep 1989, Published online: 02 May 2007

References

  • Beals , R. , Deift , P. and Tomei , C. 1988 . Direct and inverse scattering on the line . A.M.S. Mathematical Surverys and Monographs , 28
  • Bona , J.L. and Sachs , R.L. 1988 . Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation . Comm. Math. Phys. , 118 : 15 – 29 .
  • Deift , P. , Tomei , C. and Trubowitz , E. 1982 . Inverse scattering and the Boussinesq equation . Comm. Pure Appl. Math. , 35 : 567 – 628 .
  • Kalantarov , V.K. and Ladyzhenskaya , O.A. 1978 . The occurence of collapse for quasilinear equations of parabolic and hyperbolic type . J. Sov. Math. , 10 : 53 – 70 .
  • Kato , T. 1974 . Quasilinear equations of evolution, with applications to partial differential equations . Lecture Notes in Mathematics , 448 : 25 – 70 .
  • Levine , H.A. 1971 . Instability and nonexistence of global solutions to nonlinear wave equations of the form Putt=Au+F(u) . Trans A. M. S. , 192 : 1 – 21 .
  • Tomei , C. 1982 . The Boussinesq equation . Thesis , 192
  • Zakharov , V.E. 1974 . On the stochastization of one-dimensional chains of nonlinear oscillators . Sov. Phys. JETP , 38 : 108 – 110 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.