sigma08-048. 645KB Jun 04 2011 12:10:16 AM
Teks penuh
Gambar
Garis besar
Dokumen terkait
In this case, Bessel functions of index α = p 2 − 1 come in as the radial parts of the complex exponential functions, and estimate ( 1 ) leads to limit theorems for radial
We consider integrable modules L µ with the highest weight µ for affine Lie algebra g and are especially interested in the properties of the string functions related to L µ..
Indeed, a list of exactly solvable one-dimensional prob- lems (Harmonic oscillator, Coulomb, Morse, P¨ oschl–Teller potentials etc.) was obtained by an algebraic procedure in
The St¨ackel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler–Coloumb potentials, in order to obtain ma-
Key words: global attractors; solitary waves; solitary asymptotics; nonlinear Klein–Gordon equation; dispersive Hamiltonian systems; unitary invariance.. 2000 Mathematics
Considering right invariant L 2 or H 1 metrics on these infinite dimensional Lie groups, the following geodesic equations can be obtained: the Euler equation of motion of a
As this is similar in form to the corresponding equation for the VE, in Section 3 we use known results for the VE to generate implicit periodic and solitary- wave solutions to
Dependences of wave maximum (solid line) and minimum (dashed-dotted line) on speed in the original variables, equation ( 17 ), as follows from the solution ( 16 ). Bounded solutions
