Geodesic
Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation
The Bulletin of Irkutsk State University. Series Mathematics, Tome 41 (2022), pp. 85-95

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

This paper is dedicated to finding the traveling wave solutions of the loaded modified Korteweg-de Vries equation. It is shown to find the solutions via $(G'/G)$ — expansion method which is one of the most effective ways of finding solutions. When the parameters are taken as special values the solitary waves are also derived from the traveling waves. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. This method is easy to implement using well-known software packages, which allows you to solve complex nonlinear evolution equations of mathematical physics.
Keywords: loaded mKdV, nonlinear equations, expansion method.
Mots-clés : soliton solution 
@article{IIGUM_2022_41_a5,
     author = {Iroda I. Baltaeva and Ilkham D. Rakhimov and Muzaffar M. Khasanov},
     title = {Exact traveling wave solutions of the loaded modified {Korteweg-de} {Vries} equation},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {85--95},
     publisher = {mathdoc},
     volume = {41},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2022_41_a5/}
}
TY  - JOUR
AU  - Iroda I. Baltaeva
AU  - Ilkham D. Rakhimov
AU  - Muzaffar M. Khasanov
TI  - Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation
JO  - The Bulletin of Irkutsk State University. Series Mathematics
PY  - 2022
SP  - 85
EP  - 95
VL  - 41
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IIGUM_2022_41_a5/
LA  - en
ID  - IIGUM_2022_41_a5
ER  - 
%0 Journal Article
%A Iroda I. Baltaeva
%A Ilkham D. Rakhimov
%A Muzaffar M. Khasanov
%T Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation
%J The Bulletin of Irkutsk State University. Series Mathematics
%D 2022
%P 85-95
%V 41
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IIGUM_2022_41_a5/
%G en
%F IIGUM_2022_41_a5
Iroda I. Baltaeva; Ilkham D. Rakhimov; Muzaffar M. Khasanov. Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation. The Bulletin of Irkutsk State University. Series Mathematics, Tome 41 (2022), pp. 85-95. http://geodesic.mathdoc.fr/item/IIGUM_2022_41_a5/