Published

2015-07-01

Existence and regularity of 1D-solitons for a hyperelastic dispersive model

Keywords:

Hypereslactic equation, solitons, variational approach, mountain pass Theorem. (es)

Authors

  • Alex M. Montes Universidad del Cauca
  • Ricardo Córdoba Universidad del Cauca

We show the existence, regularity and analyticity of one-dimensional solitons for a dispersive type equation that models the deformations of a hyperelastic compressible plate. We follow a variational approach by characterizing solitons as critical points of a suitable functional. Our method involves the Mountain Pass Theorem.

How to Cite

APA

Montes, A. M. and Córdoba, R. (2015). Existence and regularity of 1D-solitons for a hyperelastic dispersive model. Boletín de Matemáticas, 22(2), 117–134. https://revistas.unal.edu.co/index.php/bolma/article/view/54971

ACM

[1]
Montes, A.M. and Córdoba, R. 2015. Existence and regularity of 1D-solitons for a hyperelastic dispersive model. Boletín de Matemáticas. 22, 2 (Jul. 2015), 117–134.

ACS

(1)
Montes, A. M.; Córdoba, R. Existence and regularity of 1D-solitons for a hyperelastic dispersive model. Bol. Matemáticas 2015, 22, 117-134.

ABNT

MONTES, A. M.; CÓRDOBA, R. Existence and regularity of 1D-solitons for a hyperelastic dispersive model. Boletín de Matemáticas, [S. l.], v. 22, n. 2, p. 117–134, 2015. Disponível em: https://revistas.unal.edu.co/index.php/bolma/article/view/54971. Acesso em: 22 jan. 2025.

Chicago

Montes, Alex M., and Ricardo Córdoba. 2015. “Existence and regularity of 1D-solitons for a hyperelastic dispersive model”. Boletín De Matemáticas 22 (2):117-34. https://revistas.unal.edu.co/index.php/bolma/article/view/54971.

Harvard

Montes, A. M. and Córdoba, R. (2015) “Existence and regularity of 1D-solitons for a hyperelastic dispersive model”, Boletín de Matemáticas, 22(2), pp. 117–134. Available at: https://revistas.unal.edu.co/index.php/bolma/article/view/54971 (Accessed: 22 January 2025).

IEEE

[1]
A. M. Montes and R. Córdoba, “Existence and regularity of 1D-solitons for a hyperelastic dispersive model”, Bol. Matemáticas, vol. 22, no. 2, pp. 117–134, Jul. 2015.

MLA

Montes, A. M., and R. Córdoba. “Existence and regularity of 1D-solitons for a hyperelastic dispersive model”. Boletín de Matemáticas, vol. 22, no. 2, July 2015, pp. 117-34, https://revistas.unal.edu.co/index.php/bolma/article/view/54971.

Turabian

Montes, Alex M., and Ricardo Córdoba. “Existence and regularity of 1D-solitons for a hyperelastic dispersive model”. Boletín de Matemáticas 22, no. 2 (July 1, 2015): 117–134. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/bolma/article/view/54971.

Vancouver

1.
Montes AM, Córdoba R. Existence and regularity of 1D-solitons for a hyperelastic dispersive model. Bol. Matemáticas [Internet]. 2015 Jul. 1 [cited 2025 Jan. 22];22(2):117-34. Available from: https://revistas.unal.edu.co/index.php/bolma/article/view/54971

Download Citation

Article abstract page views

231

Downloads

Download data is not yet available.