Localized Waves in N + 1 Dimensions
We give a method of costructing nonlinear Schroedinger equations in N+l dimensions, which are similar to the Davey-Stewartson equation as they are coupled to an additional scalar field, and possess, by construction, solutions describing interacting soliton-like objects.
KeywordsSeparability Condition Nonlinear Evolution Equation Nonlinear Partial Differential Equation Schroedinger Equation Envelope Soliton
Unable to display preview. Download preview PDF.
- A. Degasperis and P. CSabatier, Phys. Lett. A (to be published).Google Scholar
- P. CSabatier “Multidimensional nonlinear Schroedinger equations with exponentially confined solutions” to be published in Inverse Problems 6, 1990.Google Scholar
- P. M. Santini, Physica D 41, 26–54 (1990); A. S. Fokas and P. M. Santini, Physica D (to be published); M. Boiti, J. J. P. Leon and F. Pempinelli “Bifurcations of Solitons in Multidimensions”, preprint Lecce University, 1990; J. Hietarinta and R. Hirota, Phys. Lett. A 145, 237 (1990).MathSciNetADSMATHCrossRefGoogle Scholar
- A. Degasperis, in “Inverse methods in action”, P. C Sabatier (ed.), Springer-Verlag, Berlin 1990.Google Scholar