Exact X-wave solutions of the hyperbolic nonlinear Schrodinger equation with a supporting potential
Abbreviated Journal Title
Phys. Lett. A
We find exact solutions of the two- and three-dimensional nonlinear Schrodinger equation with a supporting potential. We focus in the case where the diffraction operator is of the hyperbolic type and both the potential and the solution have the form of an X-wave. Following similar arguments, several additional families of exact solutions can also can be found irrespectively of the type of the diffraction operator (hyperbolic or elliptic) or the dimensionality of the problem. In particular we present two Such examples: The one-dimensional nonlinear Schrodinger equation with a stationary and a "breathing" potential and the two-dimensional nonlinear Schrodinger with a Bessel potential. (C) 2009 Elsevier B.V. All rights reserved.
Physics Letters A
"Exact X-wave solutions of the hyperbolic nonlinear Schrodinger equation with a supporting potential" (2009). Faculty Bibliography 2000s. 1509.