I. Krasil’shchik

activity

20032026

most citedHamiltonian operators and l*-coverings

74 citations · 309 across the 33 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

nlin.SI2015★ 11 cited

Infinitely many nonlocal conservation laws for the $A B C$ equation with $A + B + C \neq = 0$

I. S. Krasil'shchik, A. Sergyeyev, O. I. Morozov

We construct an infinite hierarchy of nonlocal conservation laws for the $A B C$ equation $A u_{t} u_{x y} + B u_{x} u_{t y} + C u_{y} u_{t x} = 0$ , where $A, B, C$ are constants and $A+B+C\neq…

nlin.SI2015★ 18 cited

Coverings over Lax integrable equations and their nonlocal symmetries

H. Baran, I. S. Krasil'shchik, O. I. Morozov +1

Using the Lax representation with non-removable parameter, we construct two hierarchies of nonlocal conservation laws for the 3D rdDym equation $u_{t y} = u_{x} u_{x y} - u_{y} u_{xx}$ and…

nlin.SI2015★ 3 cited

Integrability of S-deformable surfaces: conservation laws, Hamiltonian structures and more

I. S. Krasil'shchik, A. Sergyeyev

We present infinitely many nonlocal conservation laws, a pair of compatible local Hamiltonian structures and a recursion operator for the equations describing surfaces in three-dim…

Infinitely many nonlocal conservation laws for the ABC equation with A+B+C=0

Coverings over Lax integrable equations and their nonlocal symmetries

Integrability of S-deformable surfaces: conservation laws, Hamiltonian structures and more

Infinitely many nonlocal conservation laws for the $A B C$ equation with $A + B + C \neq = 0$