We study the spectral structure of the complex linearized operator for a class of nonlinear Schrödinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.

We demonstrate in a model independent way that, in the combined heavy-quark and large- N(c) limit, there exists a new contracted U(4) symmetry which connects orbitally excited heavy baryons to the ground states.

Using Bäcklund transformation the spectral property of the KP-I lump solution is completely analyzed. It is proved that the lump solution is nondegenerate and has Morse index one. As a consequence we show that it is orbitally stable.

The main purpose of this research is to characterize generalized (left) derivations and Jordan (*,*)-derivations on Banach algebras rings using some functional identities. Let A be a unital semiprime algebra let F,G : ? linear mappings satisfying F(x) =-x2G(x-1) for all x Inv(A), where Inv(A) denotes the set invertible elements A. Then both F G are Another result in regard as follows. n > 1 ...

Given a free-by-cyclie group G = FN oφ Z determined by a hyperbolic and fully irreducible outer automorphism φ ∈ Out(FN ), with u0 : G → Z the homomorphism having ker(u0) = FN , we construct a K(G, 1) 2–complex X called the folded mapping torus of φ, and equip it with a semiflow. We show that X enjoys many similar properties to those proven by Thurston and Fried for the mapping torus of a pseud...

The μ-Camassa–Holm (μCH) equation is a nonlinear integrable partial differential equation closely related to the Camassa–Holm equation. We prove that the periodic peaked traveling wave solutions (peakons) of the μCH equation are orbitally stable.

1. Statement of results. Let SPW/ e" (0 <p <q) denote the complex obtained by attaching a g-cell e" to the ^-sphere Sp by means of a continuous map/: SQ~l—»Sp. Thus Sp^J/eq is the union of the mapping cylinder of/ with a cone over Sa_1. In this note we consider the problem of imbedding such a complex in euclidean space or, equivalently, in a sphere. It is clear that the mapping cylinder of/ can...