2012/10/10 by Ziemowit Popowicz, Popowicz, Ziemowit
Physics and Astronomy · #37K05 #37K10 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #J.2 #acm:37K05 #acm:37K10 #msc:37K05 #msc:37K10 #nlin.SI
paper · pdf · doi:10.48550/arxiv.1210.2819
This paper has been withdrawn by the author due to the some errors
arxiv created 2012/10/12 · arxiv updated 2012/10/15
It is shown that, two different Lax operators in the Dym hierarchy, produce two generalized coupled Harry Dym equations. These equations transform, via the reciprocal link, to the coupled two-component KdV system. The first equation gives us new integrable two-component KdV system while the second reduces to the known symmetrical two-component KdV equation. For this new two-component coupled KdV system the Lax representation and Hamiltonian structure is defined.