Add to ORKGIn this work we apply the method of hydrodynamic reductions to study the integrability of the class of second order quasilinear equations [continues…
Systems of quasilinear partial differential equations of the first order, known as hydrodynamic type...
In the series of recent publications [15, 16, 18, 21] we have proposed a novel approach to the class...
The invariant differential-geometric approach to the integrability of (2+1)- dimensional systems of ...
We investigate second-order quasilinear equations of the form fijuxixj = 0, where u is a function of...
For several classes of second order dispersionless PDEs, we show that the symbols of their formal li...
Linear degeneracy of a PDE is a concept that is related to a number of interesting geometric constru...
Abstract. The present contribution originates from short notes intended to accompany the lectures of...
Integrable systems arise in nonlinear processes and, both in their classical and quantum version, ha...
Einstein–Weyl geometry is a triple (D,g,ω) where D is a symmetric connection, [g] is a conformal str...
Einstein–Weyl geometry is a triple (D,g,ω) where D is a symmetric connection, [g] is a conformal str...
We classify integrable third-order equations in 2 + 1 dimensions which generalize the examples of Ka...
We prove that the existence of a dispersionless Lax pair with spectral parameter for a nondegenerate...
The problem of integrability of scalar partial differential equations in two independent variables i...
A (d + 1)-dimensional dispersionless PDE is said to be integrable if its ncomponent hydrodynamic red...
International audienceIn this paper, we show that four-dimensional quasilinear systems of first orde...
Systems of quasilinear partial differential equations of the first order, known as hydrodynamic type...
In the series of recent publications [15, 16, 18, 21] we have proposed a novel approach to the class...
The invariant differential-geometric approach to the integrability of (2+1)- dimensional systems of ...
We investigate second-order quasilinear equations of the form fijuxixj = 0, where u is a function of...
For several classes of second order dispersionless PDEs, we show that the symbols of their formal li...
Linear degeneracy of a PDE is a concept that is related to a number of interesting geometric constru...
Abstract. The present contribution originates from short notes intended to accompany the lectures of...
Integrable systems arise in nonlinear processes and, both in their classical and quantum version, ha...
Einstein–Weyl geometry is a triple (D,g,ω) where D is a symmetric connection, [g] is a conformal str...
Einstein–Weyl geometry is a triple (D,g,ω) where D is a symmetric connection, [g] is a conformal str...
We classify integrable third-order equations in 2 + 1 dimensions which generalize the examples of Ka...
We prove that the existence of a dispersionless Lax pair with spectral parameter for a nondegenerate...
The problem of integrability of scalar partial differential equations in two independent variables i...
A (d + 1)-dimensional dispersionless PDE is said to be integrable if its ncomponent hydrodynamic red...
International audienceIn this paper, we show that four-dimensional quasilinear systems of first orde...
Systems of quasilinear partial differential equations of the first order, known as hydrodynamic type...
In the series of recent publications [15, 16, 18, 21] we have proposed a novel approach to the class...
The invariant differential-geometric approach to the integrability of (2+1)- dimensional systems of ...