Add to ORKGA class of "elliptic soliton" solutions of the Kadomtsev-Petviashvili hierarchy, which includes a determinantal solution of Li and Zhang, is described in terms of pseudo-differential operator formulation. In our approach, the Li-Zhang solution is obtained by repeatedly applying the Darboux transformation to a stationary solution. Real-valued solutions are discussed and various examples that display web-like patterns are presented.Comment: 31 pages, 6 figure
AbstractWe present an N-soliton solution of a lattice equation related to the discrete MKdV equation...
In this paper we are interested in the existence of solutions for Dirichlet problem associated to th...
A formula relating quotients of determinants of elliptic differential operators sharing their princi...
Building upon Boiti et al's work, a rigorous inverse scattering theory of perturbed Kadomtsev Petvia...
Trovare connessioni tra aree differenti della Matematica è un fatto interessate. In questo articolo ...
AbstractIn this paper, we propose a new algorithm to finding all forms of soliton solutions and peri...
AbstractA new N-fold Darboux transformation for two integrable equations is constructed with the hel...
Oscillations of solutions of superlinear-sublinear parabolic equations are studied, and the unbounde...
summary:We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic ...
In this paper, we study the existence of multiple stationarysolutions of Generalized Kadomtsev-Petvi...
We obtain a class of soliton solutions of the integrable hierarchy which has been put forward in a s...
Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinati...
The analogue of the Privalov theorem is established for solutions of elliptic systems of second orde...
In this paper we study local regularity properties of weak solutions to a class of nonlinear noncoer...
Unboundedness of matrix solutions of time-dependent differential systems of parabolic type is studie...
AbstractWe present an N-soliton solution of a lattice equation related to the discrete MKdV equation...
In this paper we are interested in the existence of solutions for Dirichlet problem associated to th...
A formula relating quotients of determinants of elliptic differential operators sharing their princi...
Building upon Boiti et al's work, a rigorous inverse scattering theory of perturbed Kadomtsev Petvia...
Trovare connessioni tra aree differenti della Matematica è un fatto interessate. In questo articolo ...
AbstractIn this paper, we propose a new algorithm to finding all forms of soliton solutions and peri...
AbstractA new N-fold Darboux transformation for two integrable equations is constructed with the hel...
Oscillations of solutions of superlinear-sublinear parabolic equations are studied, and the unbounde...
summary:We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic ...
In this paper, we study the existence of multiple stationarysolutions of Generalized Kadomtsev-Petvi...
We obtain a class of soliton solutions of the integrable hierarchy which has been put forward in a s...
Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinati...
The analogue of the Privalov theorem is established for solutions of elliptic systems of second orde...
In this paper we study local regularity properties of weak solutions to a class of nonlinear noncoer...
Unboundedness of matrix solutions of time-dependent differential systems of parabolic type is studie...
AbstractWe present an N-soliton solution of a lattice equation related to the discrete MKdV equation...
In this paper we are interested in the existence of solutions for Dirichlet problem associated to th...
A formula relating quotients of determinants of elliptic differential operators sharing their princi...