Geodesic
Solitons and the generalized Cole-Hopf substitutions
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2013), pp. 193-199

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper examines the relationship between the method of the inverse problem and the method of generalized Cole-Hopf substitutions. The relationship between these methods is established by comparing the method of Darboux transformations and the method of Cole-Hopf substitutions. Concrete examples of using such a relationship are given. Some new examples of the integrable equations are considered.
Mots-clés : solitons, Hopf-Cole substitutions.
Keywords: exactly integrable nonlinear models 
@article{VSGTU_2013_2_a21,
     author = {A. N. Byzykchi and V. M. Zhuravlev},
     title = {Solitons and the generalized {Cole-Hopf} substitutions},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {193--199},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a21/}
}
TY  - JOUR
AU  - A. N. Byzykchi
AU  - V. M. Zhuravlev
TI  - Solitons and the generalized Cole-Hopf substitutions
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2013
SP  - 193
EP  - 199
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a21/
LA  - ru
ID  - VSGTU_2013_2_a21
ER  - 
%0 Journal Article
%A A. N. Byzykchi
%A V. M. Zhuravlev
%T Solitons and the generalized Cole-Hopf substitutions
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2013
%P 193-199
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a21/
%G ru
%F VSGTU_2013_2_a21
A. N. Byzykchi; V. M. Zhuravlev. Solitons and the generalized Cole-Hopf substitutions. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2013), pp. 193-199. http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a21/