Nonvanishing boundary condition for the mKdV hierarchy and the Gardner equation


Autoria(s): Gomes, J. F.; Franca, Guilherme S.; Zimerman, Abraham Hirsz
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

30/09/2013

20/05/2014

30/09/2013

20/05/2014

13/01/2012

Resumo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A Kac-Moody algebra construction for the integrable hierarchy containing the Gardner equation is proposed. Solutions are systematically constructed by employing the dressing method and deformed vertex operators, which take into account the nonvanishing boundary value problem for the modified Korteweg-de Vries (mKdV) hierarchy. Explicit examples are given and besides the usual KdV-like solitons, our solutions contemplate the large amplitude table-top solitons, kinks, dark solitons, breathers and wobbles.

Formato

14

Identificador

http://dx.doi.org/10.1088/1751-8113/45/1/015207

Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 45, n. 1, p. 14, 2012.

1751-8113

http://hdl.handle.net/11449/24365

10.1088/1751-8113/45/1/015207

WOS:000298146200010

Idioma(s)

eng

Publicador

Iop Publishing Ltd

Relação

Journal of Physics A: Mathematical and Theoretical

Direitos

closedAccess

Tipo

info:eu-repo/semantics/article