On construction of recursion operators from Lax representation
arXiv:solv-int/9909003v1 6 Sep 1999 Page 1 arXiv:solv-int/9909003v1 6 Sep 1999 ON
CONSTRUCTION OF RECURSION OPERATORS FROM LAX REPRESENTATION Metin Gürses …
CONSTRUCTION OF RECURSION OPERATORS FROM LAX REPRESENTATION Metin Gürses …
A new integrable generalization of the Korteweg–de Vries equation
A new integrable sixth-order nonlinear wave equation is discovered by means of the
Painlevé analysis, which is equivalent to the Korteweg–de Vries equation with a source. A …
Painlevé analysis, which is equivalent to the Korteweg–de Vries equation with a source. A …
[HTML][HTML] Nonlocal symmetry and similarity reductions for the Drinfeld–Sokolov–Satsuma–Hirota system
L Huang, Y Chen - Applied Mathematics Letters, 2017 - Elsevier
The nonlocal symmetry of the Drinfeld–Sokolov–Satsuma–Hirota system is obtained from
the known Lax pair, and infinitely many nonlocal symmetries are given by introducing the …
the known Lax pair, and infinitely many nonlocal symmetries are given by introducing the …
A new method of exact travelling wave solution for coupled nonlinear differential equations
J Hu - Physics Letters A, 2004 - Elsevier
A new method of exact travelling wave solution for coupled nonlinear differential equations -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
Bäcklund transformation and special solutions for the Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations
A Karasu, SY Sakovich - Journal of Physics A: Mathematical and …, 2001 - iopscience.iop.org
Using the Weiss method of truncated singular expansions, we construct an explicit Bäcklund
transformation of the Drinfeld-Sokolov-Satsuma-Hirota system into itself. Then we find all the …
transformation of the Drinfeld-Sokolov-Satsuma-Hirota system into itself. Then we find all the …
On the classification of Darboux integrable chains
We study a differential-difference equation of the form tx (n+ 1)= f (t (n), t (n+ 1), tx (n)) with
unknown t= t (n, x) depending on x and n. The equation is called a Darboux integrable if …
unknown t= t (n, x) depending on x and n. The equation is called a Darboux integrable if …
Lie point symmetries and travelling wave solutions for the generalized Drinfeld–Sokolov system
TM Garrido, MS Bruzón - Journal of Computational and Theoretical …, 2016 - Taylor & Francis
In this article, we show successful methods with a wider applicability in physics, which have
been applied to make an analysis of generalized Drinfeld–Sokolov system. Lie's classical …
been applied to make an analysis of generalized Drinfeld–Sokolov system. Lie's classical …
[PDF][PDF] Characteristic Lie rings and integrable models in mathematical physics
AV Zhiber, RD Murtazina, IT Habibullin, AB Shabat - Ufa Math. J, 2012 - researchgate.net
The survey is devoted to a systematic exposition of the algebraic approach based on the
concept of the characteristic vector field to the study of nonlinear integrable partial …
concept of the characteristic vector field to the study of nonlinear integrable partial …
On the recursion operators for integrable equations
IT Habibullin, AR Khakimova - Journal of Physics A: Mathematical …, 2018 - iopscience.iop.org
It is widely known that the recursion operator is a very important component of integrability. It
allows one to describe in a compact form both hierarchies of the generalized symmetries …
allows one to describe in a compact form both hierarchies of the generalized symmetries …
Analytical solutions to a generalized Drinfel'd–Sokolov equation related to DSSH and KdV6
E Sweet, RA Van Gorder - Applied Mathematics and Computation, 2010 - Elsevier
Analytical solutions to the generalized Drinfel'd–Sokolov (GDS) equationsare obtained for
various values of the model parameters. In particular, we provide perturbation solutions to …
various values of the model parameters. In particular, we provide perturbation solutions to …