Abstract
The 2+1-dimensional integrable generalization of the sine-Gordon equation symmetric in the spatial variables is studied by the inverse spectral transform method. The solutions with functional parameters, plane solitons (kinks) and plane breathers are constructed by the dressing method. The initial value problem for this equation with the constant boundaries is solved in both cases {sigma}{sup 2}={+-}1. 21 refs.
Citation Formats
Konopel`chenko, B G, and Dubrovskij, V G.
The 2+1-dimensional integrable generalization of the sine-Gordon equation. Dressing method and initial value problem.
Russian Federation: N. p.,
1992.
Web.
Konopel`chenko, B G, & Dubrovskij, V G.
The 2+1-dimensional integrable generalization of the sine-Gordon equation. Dressing method and initial value problem.
Russian Federation.
Konopel`chenko, B G, and Dubrovskij, V G.
1992.
"The 2+1-dimensional integrable generalization of the sine-Gordon equation. Dressing method and initial value problem."
Russian Federation.
@misc{etde_10113384,
title = {The 2+1-dimensional integrable generalization of the sine-Gordon equation. Dressing method and initial value problem}
author = {Konopel`chenko, B G, and Dubrovskij, V G}
abstractNote = {The 2+1-dimensional integrable generalization of the sine-Gordon equation symmetric in the spatial variables is studied by the inverse spectral transform method. The solutions with functional parameters, plane solitons (kinks) and plane breathers are constructed by the dressing method. The initial value problem for this equation with the constant boundaries is solved in both cases {sigma}{sup 2}={+-}1. 21 refs.}
place = {Russian Federation}
year = {1992}
month = {Dec}
}
title = {The 2+1-dimensional integrable generalization of the sine-Gordon equation. Dressing method and initial value problem}
author = {Konopel`chenko, B G, and Dubrovskij, V G}
abstractNote = {The 2+1-dimensional integrable generalization of the sine-Gordon equation symmetric in the spatial variables is studied by the inverse spectral transform method. The solutions with functional parameters, plane solitons (kinks) and plane breathers are constructed by the dressing method. The initial value problem for this equation with the constant boundaries is solved in both cases {sigma}{sup 2}={+-}1. 21 refs.}
place = {Russian Federation}
year = {1992}
month = {Dec}
}