Geodesic
Exact two-soliton solutions and two-periodic solutions for the perturbed mKdV equation with variable coefficients
Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 2, pp. 244-252

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

We discuss the Darboux transformation method for a modified Korteweg–de Vries equation with variable coefficients and perturbing terms in detail based on the general form of the Darboux transformations for some nonlinear evolution equations solvable by the Ablowitz–Kaup–Newell–Segur inverse scattering method. We use this method to generate families of two-soliton solutions and two-periodic solutions.
Mots-clés : Darboux transformation
Keywords: perturbed mKdV equation, two-soliton solution, two-periodic solution. 
@article{TMF_2015_184_2_a3,
     author = {Ying Huang and Lin Liang},
     title = {Exact two-soliton solutions and two-periodic solutions for the perturbed {mKdV} equation with variable coefficients},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {244--252},
     publisher = {mathdoc},
     volume = {184},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_184_2_a3/}
}
TY  - JOUR
AU  - Ying Huang
AU  - Lin Liang
TI  - Exact two-soliton solutions and two-periodic solutions for the perturbed mKdV equation with variable coefficients
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2015
SP  - 244
EP  - 252
VL  - 184
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2015_184_2_a3/
LA  - ru
ID  - TMF_2015_184_2_a3
ER  - 
%0 Journal Article
%A Ying Huang
%A Lin Liang
%T Exact two-soliton solutions and two-periodic solutions for the perturbed mKdV equation with variable coefficients
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2015
%P 244-252
%V 184
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2015_184_2_a3/
%G ru
%F TMF_2015_184_2_a3
Ying Huang; Lin Liang. Exact two-soliton solutions and two-periodic solutions for the perturbed mKdV equation with variable coefficients. Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 2, pp. 244-252. http://geodesic.mathdoc.fr/item/TMF_2015_184_2_a3/