Add to ORKG[Abstract]There is a very small but finite amplitude periodic soliton (an infinitesimal periodic soliton) in the DS II equation with r > 0 which interacts resonantly with a finite-amplitude periodic soliton under certain conditions. It is shown that these interactions always become parameter-sensitive
Abstract. A method of connecting the Korteweg–de Vries (KdV) equation, known from the theory of nonl...
Exact solutions of many integrable (2 + 1) (2 spatial and 1 temporal) dimensional systems of nonline...
Two exact, doubly periodic, propagating wave patterns of the Davey-Stewartson system are computed an...
publisher[Abstract]There is a very small but finite amplitude periodic soliton (an infinitesimal per...
[Abstract] Interactions between a line soliton and a periodic soliton are discussed with regard to t...
[Abstract] The exact solutions to the Davey-Stewartson I equation are analyzed to study the interact...
[Abstract] Resonance phenomena exist in interaction between the line soliton and the periodic solito...
[Abstract] A quasi-line soliton is the periodic soliton having a parameter of the area where a solut...
We consider the elliptic-elliptic, focussing Davey-Stewartson equations, which have an explicit brig...
[Abstract] A periodic soliton is turned into a line soliton accordingly as a parameter point approac...
It is shown that a new Davey-Stewartson equation (which we call DSIII), in addition to the so called...
The peculiar intergrability of the Davey-Stewartson equation allows us to analytically find solution...
An analysis, based on the variational approach, is carried out of the interaction between two fully ...
The discrete modified Korteweg-de Vries equation with negative cubic nonlinearity is considered for ...
In this paper we consider dynamical aspects of multi-directional waves described by the Kadomtsev-Pe...
Abstract. A method of connecting the Korteweg–de Vries (KdV) equation, known from the theory of nonl...
Exact solutions of many integrable (2 + 1) (2 spatial and 1 temporal) dimensional systems of nonline...
Two exact, doubly periodic, propagating wave patterns of the Davey-Stewartson system are computed an...
publisher[Abstract]There is a very small but finite amplitude periodic soliton (an infinitesimal per...
[Abstract] Interactions between a line soliton and a periodic soliton are discussed with regard to t...
[Abstract] The exact solutions to the Davey-Stewartson I equation are analyzed to study the interact...
[Abstract] Resonance phenomena exist in interaction between the line soliton and the periodic solito...
[Abstract] A quasi-line soliton is the periodic soliton having a parameter of the area where a solut...
We consider the elliptic-elliptic, focussing Davey-Stewartson equations, which have an explicit brig...
[Abstract] A periodic soliton is turned into a line soliton accordingly as a parameter point approac...
It is shown that a new Davey-Stewartson equation (which we call DSIII), in addition to the so called...
The peculiar intergrability of the Davey-Stewartson equation allows us to analytically find solution...
An analysis, based on the variational approach, is carried out of the interaction between two fully ...
The discrete modified Korteweg-de Vries equation with negative cubic nonlinearity is considered for ...
In this paper we consider dynamical aspects of multi-directional waves described by the Kadomtsev-Pe...
Abstract. A method of connecting the Korteweg–de Vries (KdV) equation, known from the theory of nonl...
Exact solutions of many integrable (2 + 1) (2 spatial and 1 temporal) dimensional systems of nonline...
Two exact, doubly periodic, propagating wave patterns of the Davey-Stewartson system are computed an...