Asymptotic soliton like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients
Valerii, Samoilenko ; Yuliia, Samoilenko
arXiv, 1703.01265 / Harvested from arXiv
Text on arXiv
The paper deals with a problem of asymptotic soliton like solutions to the Benjamin-Bona-Mahony (BBM) equaion with a small parameter at the highest derivative and variable coefficients depending on the variables $x$, $t$ as well as a small parameter. There is proposed an algorithm of constructing the solutions and there are proved theorems on accuracy with which the solutions satisfy the BBM equation.
Publié le : 2017-03-03
Classification:  Mathematical Physics,  35C20, 35Q53, 35B25 
@article{1703.01265,
     author = {Valerii, Samoilenko and Yuliia, Samoilenko},
     title = {Asymptotic soliton like solutions to the singularly perturbed
  Benjamin-Bona-Mahony equation with variable coefficients},
     journal = {arXiv},
     volume = {2017},
     number = {0},
     year = {2017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1703.01265}
}

Valerii, Samoilenko; Yuliia, Samoilenko. Asymptotic soliton like solutions to the singularly perturbed
  Benjamin-Bona-Mahony equation with variable coefficients. arXiv, Tome 2017 (2017) no. 0, . http://gdmltest.u-ga.fr/item/1703.01265/