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A local mountain pass type result for a system of nonlinear Schrodinger equations.
Abstract: We extend the notion of orbital stability to systems of nonlinear Schrodinger equations, then we prove this property under suitable assumptions of the local nonlinearity involved.
Abstract: A classification of large-time and finite-time blow-up asymptotics of solutions of the Cauchy problem for higher-order Schr\"odinger equations is performed.
Abstract: This is the first of a series of papers to construct the deformation theory of the form Schr\"odinger equation, which is related to a section-bundle system $(M,g,f)$, where $(M,g)$ is a nonc...
A nonlinear Schrodinger equation arising from light propagation down an inhomogeneous medium is considered. The inhomogeneity is reflected through a non-uniform coefficient of the non-linear term in t...
Using Lie group theory we construct explicit solitary wave solutions of coupled nonlinear Schrodinger systems with spatially inhomogeneous nonlinearities. We present the general theory, use it to cons...
We analyze the properties of the soliton solutions of a class of models describing one-dimensional BEC with spin F. We describe the minimal sets of scattering data which determine uniquely both the co...
Based on four saul’yev asymmetry iterative schemes we construct a class of alternating group iterative method with intrinsic parallelism for schrodinger equations. The method is verified to be converg...
In this paper, a perturbing nonlinear Schrodinger equation is studied under limited time interval through homogeneous boundary conditions and real initial condition. The analytical solution for the li...

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