[en] This is the continuation of the series reporting MORD studies to typical problem in Chemistry and Polymer Science. In our earlier papers the MORDsup1.2 studied only in visible region. In this present investigation we extended the application of the New Dispersion Relation in IR region to determine the MORD and tested to some simple systems

[en] It is shown formally that the real and imaginary parts of the effective potential operator for scattering problems obey a dispersion relation even when the hamiltonian is not hermitian. Model calculations are used to demonstrate that the equivalent local potential also satisfies the dispersion relation when absorption is present. It is also shown that the equivalent local potential is insensitive to the bare potential used in the entrance channel. (author)

No abstract available

[en] Two different methods are commonly used in the literature to derive parametric dispersion relations, the 'oscillating reference frame' technique (Silin) and the perturbative method. It has been argued, paradoxally, that they lead to different dispersion relations. We show that they are indeed quite equivalent provided that the coupling equations be developped up to second order in the pump field. The perturbative method as used by many authors, i.e. truncated at first order in the pump, is shown to be valid for resonant decay only. For studying the excitation of 'quasimodes' one must write coupling equations containing the square of the pump amplitude

[en] The present status of the dispersion theoretical approach to nuclear forces is reviewed

[en] An FFAG synchrotron differs from a synchrocyclotron by having a large radial field gradient; this large gradient greatly reduces the magnet volume while maintaining stable orbits for all energies, but it does induce substantial nonlinearities. A decade ago, the author proposed a dispersion-free insertion for an FFAG that provides regions of small volume for rf cavities, strippers, and injection and extraction elements, similar to a normal synchrotron. Here the author exploits this insertion to provide compensation of the lower order nonlinear driving fields, thereby greatly increasing the dynamic aperture as compared to an FFAG without insertions. The correction fields may be programmed to track the momentum or may be static, providing full compensation at the injection energy

No abstract available

No abstract available

[en] The termination of pinned spirals on a defect by means of local stimuli is studied. On a completely unexcitable defect, the elimination process is discussed and its corresponding mechanism is presented. Especially, the mechanism of unpinning spirals on a partially unexcitable defect, which has not been investigated so far, is explored. With fixed pacing frequency ω _L, there exists a maximal radius R _max above which the pinned spiral cannot be removed. It is found that the value of R _max does not increase as ω _L in a dynamical regime, forming a platform in the $R_{\mathit{\text{max}}}\text{-}{\mathrm{\omega <!--\; ??\; -->}}_L$ curves. Based on analyzing the dispersion relation on the spiral tip around the obstacle, the underlying mechanism is clarified. Also, it is found that when multiple spirals are pinned, the value of R _max decreases on a partially unexcitable defect while the change is very slight on a completely unexcitable one. (letter)

[en] In this paper we discuss the integrability properties of a nonlinear partial difference equation on the square obtained by the multiple scale integrability test from a class of multilinear dispersive equations defined on a four-point lattice. (paper)