Add to ORKGA (d + 1)-dimensional dispersionless PDE is said to be integrable if its ncomponent hydrodynamic reductions are locally parametrized by (d − 1)n arbitrary functions of one variable. Given a PDE which does not pass the integrability test, the method of hydrodynamic reductions allows one to effectively reconstruct additional differential constraints which, when added to the equation, make it an integrable system in fewer dimensions (if consistent)
We demonstrate that hydrodynamic reductions of dispersionless integrable systems in 2 + 1 dimensions...
Integrable systems are dynamical systems which can in some sense be ‘solved explicitly’. The classif...
Hamiltonian systems of hydrodynamic type occur in a wide range of applications including fluid dynam...
A (d + 1)-dimensional dispersionless PDE is said to be integrable if its ncomponent hydrodynamic red...
Integrable systems arise in nonlinear processes and, both in their classical and quantum version, ha...
For several classes of second order dispersionless PDEs, we show that the symbols of their formal li...
Let u(x, y, t) be a function of three variables x, y, t. Equations of the dispersionless Hirota type...
We characterize non-degenerate Lagrangians of the form Z f(ux, uy, ut) dx dy dt such that the corres...
In the series of recent publications [15, 16, 18, 21] we have proposed a novel approach to the class...
We obtain the necessary and sufficient conditions for a two-component (2+1)-dimensional system of hy...
Familiar examples include the Boyer-Finley equation uxx+uyy = eutt , the potential form of the dispe...
We classify integrable third-order equations in 2 + 1 dimensions which generalize the examples of Ka...
The invariant differential-geometric approach to the integrability of (2+1)- dimensional systems of ...
The search for partial differential systems in four independent variables ((3+1)D or 4D for short)...
Cataloged from PDF version of article.The concept of integrable boundary conditions is applied to hy...
We demonstrate that hydrodynamic reductions of dispersionless integrable systems in 2 + 1 dimensions...
Integrable systems are dynamical systems which can in some sense be ‘solved explicitly’. The classif...
Hamiltonian systems of hydrodynamic type occur in a wide range of applications including fluid dynam...
A (d + 1)-dimensional dispersionless PDE is said to be integrable if its ncomponent hydrodynamic red...
Integrable systems arise in nonlinear processes and, both in their classical and quantum version, ha...
For several classes of second order dispersionless PDEs, we show that the symbols of their formal li...
Let u(x, y, t) be a function of three variables x, y, t. Equations of the dispersionless Hirota type...
We characterize non-degenerate Lagrangians of the form Z f(ux, uy, ut) dx dy dt such that the corres...
In the series of recent publications [15, 16, 18, 21] we have proposed a novel approach to the class...
We obtain the necessary and sufficient conditions for a two-component (2+1)-dimensional system of hy...
Familiar examples include the Boyer-Finley equation uxx+uyy = eutt , the potential form of the dispe...
We classify integrable third-order equations in 2 + 1 dimensions which generalize the examples of Ka...
The invariant differential-geometric approach to the integrability of (2+1)- dimensional systems of ...
The search for partial differential systems in four independent variables ((3+1)D or 4D for short)...
Cataloged from PDF version of article.The concept of integrable boundary conditions is applied to hy...
We demonstrate that hydrodynamic reductions of dispersionless integrable systems in 2 + 1 dimensions...
Integrable systems are dynamical systems which can in some sense be ‘solved explicitly’. The classif...
Hamiltonian systems of hydrodynamic type occur in a wide range of applications including fluid dynam...