Gomes, J. F. [UNESP]Franca, Guilherme S. [UNESP]Zimerman, Abraham Hirsz [UNESP]2013-09-302014-05-202013-09-302014-05-202012-01-13Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 45, n. 1, p. 14, 2012.1751-8113http://hdl.handle.net/11449/24365A 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.14engNonvanishing boundary condition for the mKdV hierarchy and the Gardner equationArtigo10.1088/1751-8113/45/1/015207WOS:000298146200010Acesso restrito92877760781495518215976645016606