Solutions of the Davey-Stewartson equation with non-zero boundary condition

J. van der Linden

Physica A: Statistical Mechanics and its Applications, 1992, vol. 182, issue 1, 155-189

Abstract: The direct linearization of the Davey-Stewartson equation (DS) (I and II in one formalism) is investigated. The applications are found in the calculation of solutions of the DS satisfying a non-zero boundary condition. It is shown that the direct linearization in a general form allows for the choice of a “reference”, and two such choices are considered in particular. Corresponding to the two references there result solutions with two types of non-zero boundary condition, one of them being (for DS I) of the dromion type.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:182:y:1992:i:1:p:155-189

DOI: 10.1016/0378-4371(92)90236-J

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