caa a22 4500 475805232 CHVBK 20180406123745.0 cr unu---uuuuu 170329e20000201xx s 000 0 eng 10.1007/s003329910005 doi (NATIONALLICENCE)springer-10.1007/s003329910005 Li Y. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA, US aut B{ä}cklund-Darboux Transformations and Melnikov Analysis for Davey-Stewartson II Equations [Elektronische Daten] [Y. Li] Summary. : The Bäcklund-Darboux transformations are successfully utilized to construct heteroclinic orbits of Davey-Stewartson II equations through an elegant iteration of the transformations. In [17], we successfully built Melnikov vectors with the gradients of Floquet discriminants. Since there is no Floquet discriminant for Davey-Stewartson equations (in contrast to nonlinear Schrödinger equations [17]), the Melnikov vectors here are built with the novel idea of replacing the gradients of Floquet discriminants by quadratic products of Bloch functions. Such Melnikov vectors still maintain the properties of Poisson commuting with the gradient of the Hamiltonian and exponential decay as time approaches positive and negative infinities. This solves the problem of building Melnikov vectors for Davey-Stewartson equations without using the gradients of a Floquet discriminant. Melnikov functions for perturbed Davey-Stewartson II equations evaluated on the above heteroclinic orbits are built. Springer-Verlag New York Inc., 2000 Journal of Nonlinear Science Springer-Verlag 10/1(2000-02-01), 103-131 0938-8974 10:1<103 2000 10 332 https://doi.org/10.1007/s003329910005 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003329910005 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Li Y. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA, US aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 10/1(2000-02-01), 103-131 0938-8974 10:1<103 2000 10 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer