The two-component KdV system conjectured to be integrable by Foursov is proved to be both Lax integrable and P-integrable. Its conservation laws are ...

Integrability aspects of some two-component KdV systems · Deng‐Shan Wang, Jiang Liu · Published in Applied Mathematics Letters 1 May 2018 · Mathematics.

Download 8 pages fulltext PDF article from 2018 journal: Integrability aspects of some two-component KdV systems.

Oct 13, 2009 · Abstract: We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and ...

In conclusion, we have proved that the two-component KdV system (2) is both Lax integrable and Painlevé integrable by using the prolongation technique and ...

Oct 10, 2012 · The first equation gives us new integrable two-component KdV system while the second reduces to the known symmetrical two-component KdV equation ...

Feb 19, 2020 · The integrability of these systems is manifested by their Lax formulation which is a consequence of the multi-dimensional compatibility of ...

We consider a system of equations, a two component generalisation of the KdV equation, which Hirota and Satsuma recently conjectured to be integrable.

In this work, we give a classification of coupled Korteweg–de Vries equations. We found new systems of equations that are completely integrable in the sense of ...

Feb 12, 2010 · We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and ...