We consider the (coupled) Davey-Stewartson (DS) system and its Bäcklund transformations (BT). Relations among the Davey-Stewartson system, the double KadomtsevPetviashvili (KP) system and the Ablowitz-Ladik hierarchy (ALH) are established. The DS hierarchy and the double KP system are equivalent. The ALH is the BT of the DS system in a certain reduction. From the BT of coupled DS system we can ...

We derive the two equations of Davey-Stewartson type from a zero curvature condition associated with SL(2,R) in 2+ 1 dimensions. We show in general how a 2+1 dimensional zero curvature condition can be obtained from the self-duality condition in 3+3 dimensions and show in particular how the Davey-Stewartson equations can be obtained from the selfduality condition associated with SL(2,R) in 3 + ...

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(2014) The impact of cafeteria feeding during lactation in the rat on novel object discrimination in the offspring. The Nottingham ePrints service makes this work by researchers of the University of Nottingham available open access under the following conditions. A note on versions: The version presented here may differ from the published version or from the version of record. If you wish to ci...

The perturbation of the dromion of the Davey-Stewartson-1 equation is studied over the large time.

The dromion of the Davey-Stewartson-1 equation is studied under perturbation on the large time.

We used what we called extended Fan’s sub-equation method and a new compound Riccati equations rational expansion method to construct the exact travelling wave solutions of the Davey-Stewartson DS equations. The basic idea of the proposed extended Fan’s subequation method is to take fulls advantage of the general elliptic equations, involving five parameters, which have many new solutions and w...

For the Davey-Stewartson I equation, which is an integrable equation in 1+2 dimensions, we have already found its Lax pair in 1+1 dimensional form by nonlinear constraints. This paper deals with the second nonlinearization of this 1+1 dimensional system to get three 1+0 dimensional Hamiltonian systems with a constraint of Neumann type. The full set of involutive conserved integrals is obtained ...